Base-2 brilliant numbers

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Math problems
Base-2 Brilliant numbers

Brilliant numbers, as defined by Peter Wallrodt, are numbers with two prime factors of the same length (in decimal notation). These numbers are generally used for cryptographic purposes, and for testing the performance of prime factoring programs.

The challenge is to complete the table shown below. This table contains the least brilliant number with an even number of digits and the greatest brilliant number with an odd number of digits.

It is possible to define n-brilliant numbers as the product of n prime numbers of the same length.

In this page only base-2 brilliant numbers are listed, so these numbers have two factors of the same length in binary notation.

Maximal and minimal base-2 2-brilliant numbers

Maximal and minimal 2-brilliant numbers

Minimal 3-brilliant numbers

Maximal 3-brilliant numbers

Minimal 4-brilliant numbers

Maximal 4-brilliant numbers

Density of brilliant numbers (by Richard Heylen)

Maximal and minimal 2-brilliant numbers

The next table contains the maximal and minimal numbers with given number of figures whose two prime factors have the same length when expressed in binary notation. Notice that their length can be different in decimal notation.

**Maximal and minimal 2-brilliant numbers**
Bits	Number	Prime factors	Discoverer
3	2³ − 2	2 × 3	Richard Heylen
4	2³ + 1	3 × 3	Richard Heylen
5	2⁵ − 7	5 × 5	Richard Heylen
6	2⁵ + 3	5 × 7	Richard Heylen
7	2⁷ − 7	11 × 11	Richard Heylen
8	2⁷ + 15	11 × 13	Richard Heylen
9	2⁹ − 19	17 × 29	Richard Heylen
10	2⁹ + 15	17 × 31	Richard Heylen
11	2¹¹ − 27	43 × 47	Richard Heylen
12	2¹¹ + 125	41 × 53	Richard Heylen
13	2¹³ − 55	79 × 103	Richard Heylen
14	2¹³ + 57	73 × 113	Richard Heylen
15	2¹⁵ − 7	181 × 181	Richard Heylen
16	2¹⁵ + 113	131 × 251	Richard Heylen
17	2¹⁷ − 43	283 × 463	Richard Heylen
18	2¹⁷ + 21	337 × 389	Richard Heylen
19	2¹⁹ − 151	557 × 941	Richard Heylen
20	2¹⁹ + 429	647 × 811	Richard Heylen
21	2²¹ − 51	1399 × 1499	Richard Heylen
22	2²¹ + 51	1289 × 1627	Richard Heylen
23	2²³ − 45	2357 × 3559	Richard Heylen
24	2²³ + 401	2837 × 2957	Richard Heylen
25	2²⁵ − 403	4373 × 7673	Richard Heylen
26	2²⁵ + 269	5039 × 6659	Richard Heylen
27	2²⁷ − 279	11119 × 12071	Richard Heylen
28	2²⁷ + 119	9721 × 13807	Richard Heylen
29	2²⁹ − 51	22717 × 23633	Richard Heylen
30	2²⁹ + 191	18269 × 29387	Richard Heylen
31	2³¹ − 267	46271 × 46411	Richard Heylen
32	2³¹ + 675	37369 × 57467	Richard Heylen
33	2³³ − 171	76493 × 112297	Richard Heylen
34	2³³ + 51	67057 × 128099	Richard Heylen
35	2³⁵ − 421	136273 × 252139	Richard Heylen
36	2³⁵ + 39	132949 × 258443	Richard Heylen
37	2³⁷ − 213	297391 × 462149	Richard Heylen
38	2³⁷ + 57	282577 × 486377	Richard Heylen
39	2³⁹ − 187	712321 × 771781	Richard Heylen
40	2³⁹ + 521	586073 × 938033	Richard Heylen
41	2⁴¹ − 373	1286533 × 1709263	Richard Heylen
42	2⁴¹ + 341	1413851 × 1555343	Richard Heylen
43	2⁴³ − 769	2217443 × 3966773	Richard Heylen
44	2⁴³ + 1281	2270137 × 3874697	Richard Heylen
45	2⁴⁵ − 201	5591617 × 6292343	Richard Heylen
46	2⁴⁵ + 1127	4365811 × 8059069	Richard Heylen
47	2⁴⁷ − 181	8578639 × 16405573	Richard Heylen
48	2⁴⁷ + 63	8784509 × 16021099	Richard Heylen
49	2⁴⁹ − 1299	18463483 × 30489911	Richard Heylen
50	2⁴⁹ + 2297	19843693 × 28369213	Richard Heylen
51	2⁵¹ − 1081	37587401 × 59908367	Richard Heylen
52	2⁵¹ + 2489	36136003 × 62314579	Richard Heylen
53	2⁵³ − 171	93220117 × 96622913	Richard Heylen
54	2⁵³ + 1017	69174331 × 130210139	Richard Heylen
55	2⁵⁵ − 1261	154304077 × 233492191	Richard Heylen
56	2⁵⁵ + 213	181835063 × 198139987	Richard Heylen
57	2⁵⁷ − 1111	288358229 × 499778309	Richard Heylen
58	2⁵⁷ + 4131	349671787 × 412144169	Richard Heylen
59	2⁵⁹ − 4005	630854771 × 913777273	Richard Heylen
60	2⁵⁹ + 125	556552567 × 1035770539	Richard Heylen
61	2⁶¹ − 2241	1452810757 × 1587159923	Richard Heylen
62	2⁶¹ + 2309	1187585461 × 1941622801	Richard Heylen
63	2⁶³ − 499	2298974999 × 4011949691	Richard Heylen
64	2⁶³ + 243	2615800777 × 3526022363	Richard Heylen
65	2⁶⁵ − 1095	5949183623 × 6201437119	Richard Heylen
66	2⁶⁵ + 1535	4857360493 × 7595377819	Richard Heylen
67	2⁶⁷ − 987	1 1322007447 × 1 3034256803	Richard Heylen
68	2⁶⁷ + 1305	1 0139465009 × 1 4554412137	Richard Heylen
69	2⁶⁹ − 1251	2 4083972587 × 2 4509902103	Richard Heylen
70	2⁶⁹ + 89	1 7779879213 × 3 3200214877	Richard Heylen
71	2⁷¹ − 4111	3 7656657113 × 6 2702943449	Richard Heylen
72	2⁷¹ + 473	4 7103200093 × 5 0127873197	Richard Heylen
73	2⁷³ − 1113	7 8259949419 × 12 0684117941	Richard Heylen
74	2⁷³ + 1109	7 2915393059 × 12 9530028839	Richard Heylen
75	2⁷⁵ − 4177	17 0344641589 × 22 1779396819	Richard Heylen
76	2⁷⁵ + 2303	18 6832042207 × 20 2207990753	Richard Heylen
77	2⁷⁷ − 2589	33 6730384093 × 44 8773661631	Richard Heylen
78	2⁷⁷ + 615	31 5191534401 × 47 9440946087	Richard Heylen
79	2⁷⁹ − 2167	73 6399146137 × 82 0835973233	Richard Heylen
80	2⁷⁹ + 4041	72 7484000851 × 83 0895124979	Richard Heylen
81	2⁸¹ − 3105	150 4976355301 × 160 6571180147	Richard Heylen
82	2⁸¹ + 149	131 6039169143 × 183 7218599507	Richard Heylen
83	2⁸³ − 1219	237 0550533719 × 407 9814549131	Richard Heylen
84	2⁸³ + 2771	286 7130304021 × 337 3200912199	Richard Heylen
85	2⁸⁵ − 5481	544 5117332089 × 710 4645110159	Richard Heylen
86	2⁸⁵ + 1437	509 0617697353 × 759 9397269173	Richard Heylen
87	2⁸⁷ − 571	1215 1712952499 × 1273 4213317543	Richard Heylen
88	2⁸⁷ + 2333	1223 0412371077 × 1265 2272075193	Richard Heylen
89	2⁸⁹ − 3543	2066 7822274579 × 2994 8487625811	Richard Heylen
90	2⁸⁹ + 3207	2187 8940590537 × 2829 0676007887	Richard Heylen
91	2⁹¹ − 14487	4428 7089457829 × 5590 5233531509	Richard Heylen
92	2⁹¹ + 1541	3870 8587650571 × 6396 2036045359	Richard Heylen
93	2⁹³ − 2013	7281 8547054119 × 13600 2717919141	Richard Heylen
94	2⁹³ + 2261	9776 0550454823 × 10130 3851791011	Richard Heylen
95	2⁹⁵ − 771	16892 7433481341 × 23450 3540607617	Richard Heylen
96	2⁹⁵ + 303	19637 4395910281 × 20172 7323327991	Richard Heylen
97	2⁹⁷ − 703	37752 8015377169 × 41972 0705681201	Richard Heylen
98	2⁹⁷ + 2207	32207 8061207713 × 49198 1119217983	Dr Sardonicus (16 Oct 2019)
99	2⁹⁹ − 5005	77821 5345985117 × 81446 0037808399	Richard Heylen
100	2⁹⁹ + 3465	64008 1175054807 × 99022 6435045279	Richard Heylen
101	2¹⁰¹ − 10533	117573 9633767197 × 215634 5782384727	Richard Heylen
102	2¹⁰¹ + 3117	154913 9962041103 × 163658 6275339523	Richard Heylen
103	2¹⁰³ − 1161	256812 8689638119 × 394886 9401577713	Richard Heylen
104	2¹⁰³ + 731	226809 6368906497 × 447124 0702490587	Richard Heylen
105	2¹⁰⁵ − 3331	509976 6108348349 × 795425 0909840449	Richard Heylen
106	2¹⁰⁵ + 1127	630770 2154395399 × 643099 7883918241	Richard Heylen
107	2¹⁰⁷ − 2959	1195924 5418571939 × 1356768 5179972571	Richard Heylen
108	2¹⁰⁷ + 1065	949241 4486632183 × 1709357 2668757471	Richard Heylen
109	2¹⁰⁹ − 1863	2284219 8789725741 × 2841395 0569801789	Eric Jeancolas (1 Sep 2021)
110	2¹⁰⁹ + 561	2044571 3817512341 × 3174440 9273739053	Richard Heylen
111	2¹¹¹ − 1615	3656677 9302877591 × 7099745 9408822263	Richard Heylen
112	2¹¹¹ + 6933	3810370 2052774607 × 6813375 8385777883	Richard Heylen
113	2¹¹³ − 23553	9409205 5716457949 × 11036631 7729980811	Eric Jeancolas (1 Sep 2021)
114	2¹¹³ + 5775	9239323 7434978633 × 11239560 3892306199	Richard Heylen
115	2¹¹⁵ − 15865	19964881 4215779179 × 20805720 8010182357	Richard Heylen
116	2¹¹⁵ + 6213	14878171 1772666527 × 27919005 8867906203	Richard Heylen
117	2¹¹⁷ − 411	36515747 8894991609 × 45501874 9652654029	Richard Heylen
118	2¹¹⁷ + 11865	32919918 1328154989 × 50472026 9360232733	Richard Heylen
119	2¹¹⁹ − 747	59696353 3949333113 × 111332428 2130885757	Richard Heylen
120	2¹¹⁹ + 915	72364357 5703419121 × 91842727 5812431043	Richard Heylen
121	2¹²¹ − 2233	157261351 1877682669 × 169047001 7897573251	Richard Heylen
122	2¹²¹ + 9039	151959201 5934525539 × 174945377 6864524069	Dr Sardonicus (16 Oct 2019)
123	2¹²³ − 7011	247723612 5782494633 × 429261621 6760676309	Richard Heylen
124	2¹²³ + 1205	321995868 4779060871 × 330247217 6598431203	Richard Heylen
125	2¹²⁵ − 289	576662888 5980996871 × 737611119 1847811433	Richard Heylen
126	2¹²⁵ + 2129	479782852 9468030733 × 886553064 6597221717	Richard Heylen
127	2¹²⁷ − 5751	1150217507 2681465387 × 1479208779 0818572571	Richard Heylen
128	2¹²⁷ + 16529	1032167352 6145015591 × 1648387570 3828264327	Richard Heylen
129	2¹²⁹ − 11619	2028685849 9088660161 × 3354707353 3955477213	Richard Heylen
130	2¹²⁹ + 2175	2360645109 3731320853 × 2882960810 7531270979	Richard Heylen
131	2¹³¹ − 1407	4664195392 8865273739 × 5836502774 9894182819	Richard Heylen
132	2¹³¹ + 5213	3992358649 1986508033 × 6818673307 1036129117	Richard Heylen
133	2¹³³ − 10665	9624617342 5464733063 × 1 1313733683 0359831729	Richard Heylen
134	2¹³³ + 17747	8246498302 8880753211 × 1 3204435799 9279407049	Richard Heylen
135	2¹³⁵ − 7339	1 6753005844 2310550731 × 2 5999001833 3807268959	Richard Heylen
136	2¹³⁵ + 3699	1 7243217440 7960431849 × 2 5259869925 9164063483	Richard Heylen
137	2¹³⁷ − 8659	3 5966461560 2929607777 × 4 8440843025 7884302669	Richard Heylen
138	2¹³⁷ + 8895	3 4373577389 3967661403 × 5 0685609440 6000436589	Richard Heylen
139	2¹³⁹ − 2955	6 5931013023 3364802329 × 10 5701134488 4709612477	Richard Heylen
140	2¹³⁹ + 31023	6 1189773980 5246712491 × 11 3891299496 5284596621	Richard Heylen
141	2¹⁴¹ − 1165	12 0159678883 9791683051 × 23 1990728978 8868048537	Richard Heylen
142	2¹⁴¹ + 7095	12 6070738966 0317109657 × 22 1113413999 0574917071	Richard Heylen
143	2¹⁴³ − 8601	30 4557569626 4389672331 × 36 6117073134 7120600597	Richard Heylen
144	2¹⁴³ + 7149	29 8018781948 4573008837 × 37 4149995727 2418365961	Richard Heylen
145	2¹⁴⁵ − 11029	63 8246584774 2404555581 × 69 8812832862 0452072263	Richard Heylen
146	2¹⁴⁵ + 17657	56 3472965979 1807055329 × 79 1546233625 5043990041	Richard Heylen
147	2¹⁴⁷ − 9799	97 5958955458 2595680193 × 182 8006809000 2291548153	Richard Heylen
148	2¹⁴⁷ + 3105	106 8530148357 5332593691 × 166 9639007027 3416142963	Richard Heylen
149	2¹⁴⁹ − 1195	219 1321164009 2730527197 × 325 6591767896 4199782361	Richard Heylen
150	2¹⁴⁹ + 1847	215 0464762973 9723163401 × 331 8463332391 8227434559	Richard Heylen
151	2¹⁵¹ − 1887	518 7392503749 2254456897 × 550 2755735851 5141846113	Richard Heylen
152	2¹⁵¹ + 5909	458 3487942838 2619777399 × 622 7779850216 6729529043	Richard Heylen
153	2¹⁵³ − 8691	823 0138072934 1854683709 × 1387 3377871019 0856783889	Richard Heylen
154	2¹⁵³ + 8925	1014 3969001150 4607419981 × 1125 5931026950 8201103057	Richard Heylen
155	2¹⁵⁵ − 12151	1585 6834419145 6332784327 × 2880 2675842692 8954253871	Richard Heylen
156	2¹⁵⁵ + 11571	1893 2985677011 2793277911 × 2412 2939163285 9402706949	Richard Heylen
157	2¹⁵⁷ − 30051	3964 1783135649 4304954899 × 4608 4633489171 6237979279	Richard Heylen
158	2¹⁵⁷ + 12891	3840 7764188106 6377027233 × 4756 5305746939 0541036411	Richard Heylen
159	2¹⁵⁹ − 1185	7308 3521797095 6926042851 × 9998 8451664146 7022279253	Richard Heylen
160	2¹⁵⁹ + 11475	6784 0800840580 3741141291 × 10771 5535431642 1610591993	Richard Heylen
161	2¹⁶¹ − 5049	12498 5226367423 5439330219 × 23386 7902600660 0554401237	Richard Heylen
162	2¹⁶¹ + 14345	14357 1640773682 4773016279 × 20359 1966972742 8132595743	Richard Heylen
163	2¹⁶³ − 315	27419 7459233054 0054908487 × 42640 8513461446 8524987539	Richard Heylen
164	2¹⁶³ + 3711	33411 8730731202 3387974521 × 34993 5876778288 6697997239	Richard Heylen
165	2¹⁶⁵ − 5733	62222 6169737062 5300299677 × 75162 4645012149 2259828887	Richard Heylen
166	2¹⁶⁵ + 5301	53958 7529877309 8682333523 × 86673 7087219619 4401734871	Richard Heylen
167	2¹⁶⁷ − 17199	126207 7489125896 2173453871 × 148225 6130785758 1915065599	Richard Heylen
168	2¹⁶⁷ + 23039	101435 4185478068 8292159693 × 184424 9397858872 7219418619	Richard Heylen
169	2¹⁶⁹ − 8323	259363 8668853701 9303442929 × 288509 2851596556 1647665741	Richard Heylen
170	2¹⁶⁹ + 6149	236606 3433455170 9759909877 × 316258 9927780141 5551126993	Richard Heylen
171	2¹⁷¹ − 10231	546071 3352724133 1388116161 × 548125 3381960660 4666017097	Richard Heylen
172	2¹⁷¹ + 4001	433353 1912783968 3691034341 × 690696 5065663522 3658712589	Richard Heylen
173	2¹⁷³ − 6433	1031252 9535731781 4614295961 × 1160978 1452291544 3190737719	Richard Heylen
174	2¹⁷³ + 11159	1090398 0583649417 2540388989 × 1098004 6526282129 1466461859	Richard Heylen
175	2¹⁷⁵ − 3015	1858613 9899832172 0351800807 × 2576677 3472146018 5172064479	Richard Heylen
176	2¹⁷⁵ + 1451	2000852 2642504908 4024075619 × 2393504 3335145266 7309368601	Richard Heylen
177	2¹⁷⁷ − 7665	3632265 4121550861 1047441259 × 5273897 1653114710 5807067373	Richard Heylen
178	2¹⁷⁷ + 10809	3757452 2471956080 3103027121 × 5098187 0162477581 5957482761	Richard Heylen
179	2¹⁷⁹ − 37777	6688038 9387611120 8193990411 × 11456987 2790675417 3822473901	Richard Heylen
180	2¹⁷⁹ + 2181	7834109 4746440026 2739290051 × 9780917 3194859424 3831927319	Richard Heylen
181	2¹⁸¹ − 26893	17488586 5873930210 3515615791 × 17525664 9038821387 9215450749	Richard Heylen
182	2¹⁸¹ + 15639	14900547 3710595461 8716445873 × 20569654 2912559643 0328170567	Richard Heylen
183	2¹⁸³ − 1665	25253561 0927954599 1370166463 × 48547467 3527320177 1601610561	Richard Heylen
184	2¹⁸³ + 5411	31277775 3335998327 8424021763 × 39197047 0922750333 4453097313	Richard Heylen
185	2¹⁸⁵ − 12643	50539834 6939849115 5404352681 × 97032088 8555359866 1272762069	Richard Heylen
186	2¹⁸⁵ + 4451	58618175 6366588529 4777267657 × 83659815 0233793951 4730959819	Richard Heylen
187	2¹⁸⁷ − 16225	129520284 6347802654 7218224629 × 151450739 7694204916 2118663107	Richard Heylen
188	2¹⁸⁷ + 12455	136693269 3901648441 0250604071 × 143503356 1681329956 3024447873	Richard Heylen
189	2¹⁸⁹ − 9441	249308469 7753189652 7238364881 × 314725655 9837152568 0493860591	Richard Heylen
190	2¹⁸⁹ + 1649	250820221 5063005870 2040414221 × 312828731 3563452255 5253418741	Richard Heylen
191	2¹⁹¹ − 135	485541319 9587084787 6553140783 × 646402425 2272185149 1253341911	Richard Heylen
192	2¹⁹¹ + 18911	491843870 7776276060 2342077119 × 638119341 1500987550 7037556961	Richard Heylen
193	2¹⁹³ − 7129	807457766 5444699092 2230094437 × 1554781437 6099572303 4651686299	Richard Heylen
194	2¹⁹³ + 10971	795325620 4528173315 9396832771 × 1578498560 5802119723 4952186953	Richard Heylen
195	2¹⁹⁵ − 3759	1711209293 7305767987 1047890403 × 2934580478 6752103031 0336889403	Richard Heylen
196	2¹⁹⁵ + 14661	1710294567 9580499471 6562118867 × 2936149995 6728601727 7274609287	Richard Heylen
197	2¹⁹⁷ − 69135	4473041648 7411682032 0039607649 × 4490618941 3394602205 2873440913	Richard Heylen
198	2¹⁹⁷ + 1611	3658712204 1328842745 2498570833 × 5490108112 5067440288 5620594651	Richard Heylen
199	2¹⁹⁹ − 30121	7772817599 8723958753 0940907213 × 1 0336908229 2975131570 9564315059	Richard Heylen
200	2¹⁹⁹ + 14841	7766401170 0864988978 3658882197 × 1 0345448355 4645740630 3736799957	Richard Heylen
201	2²⁰¹ − 8353	1 2910631660 1525788642 8343320279 × 2 4893252112 8094727917 2077124281	Richard Heylen
202	2²⁰¹ + 8235	1 4344205010 9878330348 7708565493 × 2 2405397064 9200351695 2845843359	Richard Heylen
203	2²⁰³ − 27597	3 3539990010 0252531720 5714079397 × 3 8328885459 5047714653 2406966263	Richard Heylen
204	2²⁰³ + 4961	2 7646446919 7757894090 7353526057 × 4 6499661932 6017152121 3906289017	Richard Heylen
205	2²⁰⁵ − 189	6 7577897789 2895203972 1118279481 × 7 6092952131 5142314689 5888973403	Richard Heylen
206	2²⁰⁵ + 18875	5 2629469337 6582305399 5043196239 × 9 7705749389 9020419370 0137376213	Richard Heylen
207	2²⁰⁷ − 4219	12 8730418332 0686240230 5535167701 × 15 9782025359 8219359629 8358042609	Richard Heylen
208	2²⁰⁷ + 26615	11 5115748511 4145121930 3933840417 × 17 8679348677 2623289055 5523379479	Richard Heylen
209	2²⁰⁹ − 3859	24 9674808169 4201846946 1465423709 × 32 9529552738 1815165770 0278046417	Richard Heylen
210	2²⁰⁹ + 28205	26 5327919904 4195215733 3479209521 × 31 0088843630 5487267858 1162047677	Richard Heylen
211	2²¹¹ − 16245	44 0356900419 4388651976 9455679797 × 74 7350413155 2688267905 4126852799	Richard Heylen
212	2²¹¹ + 2279	56 3492833509 7184332264 1592091189 × 58 4037439153 2794526247 6126732843	Richard Heylen
213	2²¹³ − 7569	108 9088231487 8494920205 9268127663 × 120 8720843543 1995630542 4730649921	Jim Fougeron
214	2²¹³ + 15729	83 4236273412 3522329420 8339376167 × 157 7974595221 5188392539 5060868263	Jim Fougeron
215	2²¹⁵ − 5265	216 0943119314 1095070019 9356867037 × 243 6720585731 6516589949 7388735419	Jim Fougeron
216	2²¹⁵ + 19331	191 7432889515 2651946074 4117315919 × 274 6179338124 8550722079 8690510221	Jim Fougeron
217	2²¹⁷ − 295	403 4261744735 2420762138 5295832219 × 522 0895337591 3666081349 0945347483	Donovan Johnson (30 Aug 2007)
218	2²¹⁷ + 3005	442 6993272675 5126170935 2292139721 × 475 7734434274 8591600865 2648900437	Donovan Johnson (30 Aug 2007)
219	2²¹⁹ − 1879	860 9331452583 1028378715 6401928773 × 978 5874059892 0523966089 7687469333	Sander Hoogendoorn (26 Apr 2006)
220	2²¹⁹ + 25083	829 8332505851 7826036788 0300072751 × 1015 2622020801 7469094279 3930917621	Sander Hoogendoorn (26 Apr 2006)
221	2²²¹ − 16351	1509 9183079321 9070984280 1378232549 × 2231 9044121062 3020554633 8774635149	Sander Hoogendoorn (26 Apr 2006)
222	2²²¹ + 3339	1824 7264889735 9324777956 8997477127 × 1846 8484749675 8142606243 8597875933	Sander Hoogendoorn (27 Apr 2006)
223	2²²³ − 4299	2630 5916970105 9085898895 5965836293 × 5124 3122788283 6620561760 2811014513	Donovan Johnson (7 Sep 2007)
224	2²²³ + 6419	3443 7229629414 1745116270 1646095029 × 3914 3605564779 6692866556 0140349863	Sander Hoogendoorn (2 May 2006)
225	2²²⁵ − 22059	5446 3685381280 3582707019 3655908409 × 9900 1551137841 3170490033 2561782397	Donovan Johnson (7 Sep 2007)
226	2²²⁵ + 18567	7279 8841668521 4376987109 0041714663 × 7406 6966037478 1699831856 4484978273	Sander Hoogendoorn (2 May 2006)
227	2²²⁷ − 2805	12058 5567324538 4481761327 1982908631 × 17886 0188762669 2814257509 9076753133	Donovan Johnson (7 Sep 2007)
228	2²²⁷ + 8075	12129 4765423074 8224746174 5829051661 × 17781 4411516372 6253974414 2669797623	Sander Hoogendoorn (5 May 2006)
229	2²²⁹ − 19569	28542 5287695773 6534934391 0690007311 × 30225 7133666574 8790410671 3081597313	Donovan Johnson (7 Sep 2007)
230	2²²⁹ + 13647	25738 7686699150 1912760900 6303888697 × 33518 2426328426 5660752358 1630453447	Sander Hoogendoorn (5 May 2006)
231	2²³¹ − 22837	52938 8586914349 7832544132 8881267607 × 65186 0138033841 2008155823 0446734573	Donovan Johnson (7 Sep 2007)
232	2²³¹ + 52595	47747 5978985011 4216985698 8306136387 × 72273 2310163734 7900879436 9015657489	Sander Hoogendoorn (13 May 2006)
233	2²³³ − 1431	99314 7300154452 5538631650 4740368491 × 138987 3656348301 2255249760 3375957371	Donovan Johnson (7 Sep 2007)
234	2²³³ + 15395	99744 8418369474 1490701823 1364554413 × 138388 0353045790 0246330476 6110326799	Donovan Johnson (7 Sep 2007)
235	2²³⁵ − 11511	229220 1758050675 1599386164 3590583719 × 240877 4471112846 0788695132 8254564303	Donovan Johnson (7 Sep 2007)
236	2²³⁵ + 65655	198021 0636810418 4058211803 9978816887 × 278828 7758279049 7191898652 2169756929	Donovan Johnson (7 Sep 2007)
237	2²³⁷ − 21931	397221 0326076188 8844892380 3107865959 × 556002 4897157520 7634522414 3770038499	Donovan Johnson (7 Sep 2007)
238	2²³⁷ + 369	462981 0295241514 5951638540 0279583417 × 477030 0919765376 0075593601 7839665273	Donovan Johnson (7 Sep 2007)
239	2²³⁹ − 4987	746955 3639174108 3223387987 8115166941 × 1182699 2281788745 6761683366 7659311561	Donovan Johnson (7 Sep 2007)
240	2²³⁹ + 7379	794283 4710581544 3679314895 3088550289 × 1112227 0128727269 3261409802 7688237603	Donovan Johnson (7 Sep 2007)
241	2²⁴¹ − 26311	1829620 3607776564 6120364217 6044500139 × 1931381 0697071701 2094378537 3650645419	Donovan Johnson (7 Sep 2007)
242	2²⁴¹ + 7059	1820819 6788810491 7222278696 1739524183 × 1940716 1349048767 8867739409 2159668517	Donovan Johnson (7 Sep 2007)
243	2²⁴³ − 2851	3492441 5451752410 2240727658 2112795099 × 4047247 8452084817 3174975748 8022123943	Donovan Johnson (7 Sep 2007)
244	2²⁴³ + 15515	2982482 9722066429 9580633336 8516356377 × 4739264 7837211989 8354235326 9014521299	Donovan Johnson (7 Sep 2007)
245	2²⁴⁵ − 23833	7038948 2882478635 1312515982 6528922739 × 8032322 9774688435 3228454183 3436145341	Donovan Johnson (7 Sep 2007)
246	2²⁴⁵ + 957	5339319 5825013662 2690293809 8895756591 × 10589196 8441456053 8267921539 6567444179	Donovan Johnson (7 Sep 2007)
247	2²⁴⁷ − 2341	11028138 1285140598 6013650360 0551344843 × 20507217 2343298071 6864245674 5839157809	Donovan Johnson (7 Sep 2007)
248	2²⁴⁷ + 1101	14358214 1432589566 0858246041 8944654357 × 15751013 4641508644 3095744966 0085681497	Donovan Johnson (7 Sep 2007)
249	2²⁴⁹ − 405	27633861 8696210743 5043427740 0808433547 × 32736130 0941082447 4483147174 7559710881	Donovan Johnson (7 Sep 2007)
250	2²⁴⁹ + 7829	26331344 1975451199 3241549785 8438205917 × 34355469 6782578739 1713588719 6623003673	Donovan Johnson (7 Sep 2007)
251	2²⁵¹ − 30009	45674044 3016819874 6080920763 5394315023 × 79224488 3059956333 0254253229 4308846793	Donovan Johnson (7 Sep 2007)
252	2²⁵¹ + 12651	58738936 7893628216 5861429825 9360632067 × 61603137 3131938381 4546517545 1858770297	Donovan Johnson (7 Sep 2007)
253	2²⁵³ − 1533	107448486 7987263186 1331201566 8381380461 × 134706514 5903580803 9174475930 8799932719	Donovan Johnson (7 Sep 2007)
254	2²⁵³ + 27399	109830181 8078185117 9872579981 0248782153 × 131785370 0724199197 9599647782 9363370447	Donovan Johnson (7 Sep 2007)
255	2²⁵⁵ − 591	189534297 5036076019 5563397059 2627848347 × 305464738 4732892606 0937353457 7361923491	Donovan Johnson (7 Sep 2007)
256	2²⁵⁵ + 6753	191962425 3166030400 7250722657 9884155979 × 301600922 8012738881 8008845839 3113991299	Donovan Johnson (7 Sep 2007)
257	2²⁵⁷ − 22111	342574526 2701364782 0223137791 1312046171 × 676011088 7288132338 0210766740 2361882291	Donovan Johnson (7 Sep 2007)
258	2²⁵⁷ + 76491	375155384 2927084210 5586753123 5520239019 × 617302025 1628399653 9188059659 9111950177	Donovan Johnson (7 Sep 2007)
259	2²⁵⁹ − 9439	846019150 4957185898 4610272811 2035968993 × 1094935869 1889533450 1861231800 9054300993	Donovan Johnson (7 Sep 2007)
260	2²⁵⁹ + 49125	814978598 8237795021 5712314217 8773913559 × 1136639312 0450868536 5483829550 3963334307	Donovan Johnson (7 Sep 2007)
261	2²⁶¹ − 28509	1808703307 7662300069 4095119758 2136256931 × 2048620600 0088900578 2642939804 5285969153	Donovan Johnson (7 Sep 2007)
262	2²⁶¹ + 30089	1681859543 1570568857 2498449665 4203001421 × 2203125029 4770318388 9586208451 5059314221	Donovan Johnson (7 Sep 2007)
263	2²⁶³ − 83725	3121691923 8133878745 3615301862 3275037497 × 4747869996 1753442796 2642034096 9812128139	Donovan Johnson (7 Sep 2007)
264	2²⁶³ + 19719	3377627128 1293968864 8885752477 9317770101 × 4388106460 5804722505 8773046326 8912258827	Donovan Johnson (7 Sep 2007)
265	2²⁶⁵ − 3615	7342776550 6237228684 4353161817 3848224179 × 8073996162 1833577396 2633722120 7670762523	Donovan Johnson (7 Sep 2007)
266	2²⁶⁵ + 29805	6304700356 7635093803 2987904010 8368586467 × 9403388953 4347152063 1782030484 0390297711	Donovan Johnson (7 Sep 2007)
267	2²⁶⁷ − 16015	1 5035766373 4623926957 3513285086 9247858863 × 1 5771873070 3724781346 5154726672 9527824351	Donovan Johnson (7 Sep 2007)
268	2²⁶⁷ + 1895	1 3200149974 9562643646 6115092989 1062622639 × 1 7965113972 7910011038 3467265245 4924403657	Donovan Johnson (12 Sep 2007)
269	2²⁶⁹ − 21021	2 9495525417 2452385250 8364508271 2132531811 × 3 2159752423 9216186822 6047175142 0054078081	Donovan Johnson (21 Oct 2007)
270	2²⁶⁹ + 6875	2 9260169779 4014142199 6248049833 8644925207 × 3 2418430999 6679549245 3982114612 4341381341	Donovan Johnson (21 Oct 2007)
271	2²⁷¹ − 51877	5 7040419241 9819459495 0694787174 6960525713 × 6 6519061931 0136035788 4353815649 0816551467	Donovan Johnson (21 Oct 2007)
272	2²⁷¹ + 8939	5 3096688356 8551387710 0909212768 7337680437 × 7 1459733131 1437750803 9646686585 9148603551	Donovan Johnson (21 Oct 2007)
273	2²⁷³ − 3519	8 8980035990 1333710218 0228173686 6868453101 × 17 0567482375 4446944807 0449591210 1912961573	Donovan Johnson (21 Oct 2007)
274	2²⁷³ + 2417	8 7260018212 8746232024 2618089333 2065706311 × 17 3929607526 4195877271 7486345203 0272854919	Donovan Johnson (21 Oct 2007)
275	2²⁷⁵ − 15717	17 8924031114 5256973010 0911840901 8944690503 × 33 9297088847 7009428305 7925109127 8453487117	Donovan Johnson (21 Oct 2007)
276	2²⁷⁵ + 17549	23 4341408227 1585969953 7406202522 6391345099 × 25 9059648661 0100385599 9537859097 8640370183	Donovan Johnson (21 Oct 2007)
277	2²⁷⁷ − 9045	37 8419594869 1820462473 4893343455 4098476207 × 64 1704644317 2759654480 6710565385 1219377861	Donovan Johnson (21 Oct 2007)
278	2²⁷⁷ + 339	35 3261414856 5613133365 9582022576 0703758781 × 68 7404854636 6621540596 6094236544 9804388431	Donovan Johnson (21 Oct 2007)
279	2²⁷⁹ − 12217	83 9253330537 8555314469 2783584292 0737589249 × 115 7379316553 1576360493 5619397693 2809463879	Donovan Johnson (21 Oct 2007)
280	2²⁷⁹ + 485	95 7887427558 3187556160 4768696529 8676201039 × 101 4038203412 7147882307 5876114388 5006285707	Donovan Johnson (21 Oct 2007)
281	2²⁸¹ − 68385	156 5994808171 5869578731 0080634397 8685227419 × 248 1066836350 4174728462 5559141117 2153262093	Donovan Johnson (29 Oct 2007)
282	2²⁸¹ + 21849	191 5835243720 2746187611 3151970632 2026341193 × 202 8012480293 8141929527 4966760051 3760301457	Donovan Johnson (21 Oct 2007)
283	2²⁸³ − 1135	295 7478405393 5278660422 4733307036 3111280489 × 525 4933090792 2115366862 4846327027 0251527657	Donovan Johnson (21 Oct 2007)
284	2²⁸³ + 18669	338 7456405592 2962045444 0489435716 7179238707 × 458 7911777151 9866496891 4869461121 8259906911	Donovan Johnson (21 Oct 2007)
285	2²⁸⁵ − 32745	753 3889018301 7229756157 0786751697 2688598713 × 825 1436197189 5034340819 9157235378 8874405199	Donovan Johnson (21 Oct 2007)
286	2²⁸⁵ + 43379	601 6050665929 5596492103 8260715912 2197108053 × 1033 3258146125 9935137048 2083344400 3394814887	Donovan Johnson (29 Oct 2007)
287	2²⁸⁷ − 8175	1474 8561108700 4862079409 7761798417 4952285813 × 1686 0059525278 2053235650 3524719107 5041777581	Donovan Johnson (21 Oct 2007)
288	2²⁸⁷ + 14021	1224 2995617640 6648465525 0928463075 2678755729 × 2031 0520886457 0881052017 2539170064 1197038581	Donovan Johnson (29 Oct 2007)
289	2²⁸⁹ − 7795	3108 6601058511 8202573077 9365221976 9304849287 × 3199 5986661501 8433124210 3236478526 7551823691	Donovan Johnson (29 Oct 2007)
290	2²⁸⁹ + 56799	2685 6062349909 1858411326 3171690024 3854177221 × 3703 6199121832 0468183474 4241602159 6735639891	Donovan Johnson (1 Nov 2007)
291	2²⁹¹ − 36069	4470 9029272344 9627095757 5203207586 3649395393 × 8898 8420371257 5620832397 4202885090 8436445403	Donovan Johnson (29 Oct 2007)
292	2²⁹¹ + 24113	5496 3949534670 1407972417 2113425293 0312380023 × 7238 5371228984 9572231620 5673712960 5144070807	Donovan Johnson (16 Dec 2007)
293	2²⁹³ − 33769	12651 0626365064 2240029338 2214088571 1272659161 × 12579 4520368511 1287554648 8827872178 2242924143	swishzzz (14 Oct 2020)
294	2²⁹³ + 4059	10787 2199852482 4222543668 9179595015 6175824141 × 14752 9609916886 6793267355 9872713751 9956594311	Arkadiusz (14 Apr 2010)
295	2²⁹⁵ − 13429	19851 0202319234 0218272827 4286086809 7914815709 × 32067 5579978917 8346482289 0465834601 6622753671	swishzzz (2 Nov 2020)
296	2²⁹⁵ + 175343	19974 4320796412 8459955309 1231677715 1860992621 × 31869 4288812019 6090711701 0694200630 1252918091	swishzzz (2 Nov 2020)
297	2²⁹⁷ − 7405	46544 9598594965 1257595680 0686238451 5773478687 × 54706 1374229242 1562410556 7549172217 8284755341	swishzzz (31 Oct 2020)
298	2²⁹⁷ + 4301	44774 2596479348 5970821508 0428887840 1042937171 × 56869 6163920948 5720720843 5191446358 8415143263	swishzzz (31 Oct 2020)
299	2²⁹⁹ − 31527	100655 1460876452 7578031403 6363630879 4862182167 × 101188 8639335310 7397004048 7466716176 3668291983	swishzzz (31 Oct 2020)
300	2²⁹⁹ + 5213	78763 5264420925 0027228950 2240962815 9430226741 × 129313 4061126712 8142873411 9565844607 6305594761	Sander Hoogendoorn (25 Jan 2009)
301	2³⁰¹ − 895	169008 2302137336 8685741764 4778178846 7186469573 × 241057 6069293642 7209094906 6020291277 8579424909	Donovan Johnson (6 Sep 2009)
302	2³⁰¹ + 20105	148846 3082686883 4884587936 6835123653 8106118513 × 273709 9764217668 0726242680 8271999400 3127374489	Donovan Johnson (6 Sep 2009)
303	2³⁰³ − 39727	375514 0210209107 8910334034 8826703957 1419053517 × 433972 8185480567 5236354237 6261862352 8383356693	swishzzz (25 Oct 2020)
304	2³⁰³ + 8235	318357 5092546620 2989549475 4908123961 2435432971 × 511886 3961723009 2781115486 2116544466 6844955233	Donovan Johnson (6 Sep 2009)
305	2³⁰⁵ − 48019	607284 8346102017 9428437386 1334763278 8489697979 × 1073386 7787846864 1163260581 1454658912 8269197047	Anonymous (before Nov 2018)
306	2³⁰⁵ + 47261	731649 0771476709 1908076529 6557410257 2379302277 × 890934 6472058358 2368425438 6135956522 7710116409	swishzzz (4 Jan 2021)
307	2³⁰⁷ − 19027	1177543 0370240476 5550962433 4888879112 9599911451 × 2214276 6486885472 7759130117 4186656976 8555016151	swishzzz (4 Jan 2021)
308	2³⁰⁷ + 371	1404912 4283454209 1752345765 5826443371 4634147209 × 1855920 6944869223 9861313619 5839322328 4004342811	swishzzz (4 Jan 2021)
309	2³⁰⁹ − 31899	2478198 6941524378 7794517196 3687939425 3653915667 × 4208550 4376393744 7372227164 3990486414 3412540839	swishzzz (11 Jan 2021)
310	2³⁰⁹ + 19499	2351701 4357815368 4430035071 2537099343 3302283221 × 4434927 0022733603 9688869158 2404981162 7149524991	swishzzz (11 Jan 2021)
311	2³¹¹ − 9397	6237091 9584932696 4599608512 7707059688 3408884321 × 6688773 7222666271 9354560330 5047326410 6633618731	Eric Jeancolas (5 Feb 2021)
312	2³¹¹ + 69711	5166646 5841110031 8795609999 5840850988 0659269639 × 8074579 1522933342 2111020554 1262233604 1844745081	Eric Jeancolas (18 Feb 2021)
313	2³¹³ − 24133	10078817 0265999753 0173230857 0625752848 3989089343 × 16556902 1385057306 0604828863 2248449191 1556750213	Erik Branger (30 Dec 2020)
314	2³¹³ + 8505	11845856 7629160086 5274861509 7536203080 3169102833 × 14087118 4348377129 0670492390 8057837523 7738238409	Erik Branger (30 Dec 2020)
315	2³¹⁵ − 19015	21683448 5254286594 9034965854 3331594632 7767764161 × 30783661 9227101788 6522084697 3256232635 5490574073	Erik Branger (30 Dec 2020)
316	2³¹⁵ + 42701	22866942 2455046776 0014854098 6482667127 4859838381 × 29190433 1396343474 2580892804 9231795476 8687954849	Erik Branger (30 Dec 2020)
317	2³¹⁷ − 3369	43606532 1852177727 6653538435 5783974326 3823284547 × 61228987 0600221313 3998967323 1943565446 4341654749	swishzzz (26 Feb 2021)
318	2³¹⁷ + 2715	45321626 5721774213 6266719382 3949641620 4713779381 × 58911914 6165027311 7265522675 9132579386 6929856527	Eric Jeancolas (17 Feb 2022)
319	2³¹⁹ − 43569	100843093 4780742016 9958971450 4214858148 7246958037 × 105906461 3277322171 9697806777 9259385985 9552461587	Eric Jeancolas (27 Mar 2022)
320	2³¹⁹ + 26963	99472575 8141225539 7812635416 4851012440 2664028117 × 107365624 0646808865 5573379505 6276355415 8304237703	Eric Jeancolas (15 Mar 2022)
321	2³²¹ − 16005	155620805 3423202136 8304495028 9639915992 0557276001 × 274511757 1165839830 5575703529 9599497283 4594285147	Eric Jeancolas (15 Mar 2022)
322	2³²¹ + 14249	148795709 7792771708 1161653034 9428216044 4099736127 × 287103309 5093162053 6737804081 2807671704 9659018263	Eric Jeancolas (15 Mar 2022)
323	2³²³ − 9585	338353160 0164429166 3973805167 4650973110 9068982917 × 505031378 6499544373 4590376535 6804814727 2097922819	Eric Jeancolas (17 Feb 2022)
324	2³²³ + 65363	367866002 9896500023 1587097053 8740994064 3847272269 × 464514147 7737493642 3604551513 7309782418 4455708959	Eric Jeancolas (27 Mar 2022)
325	2³²⁵ − 80451	613324262 4314918074 6782131547 8738418474 1179680977 × 1114444500 8337491047 7465938851 4971333273 2051556653	Eric Jeancolas (27 Mar 2022)
326	2³²⁵ + 689	783815428 3657801236 1724795951 9986053045 6102132089 × 872036740 7411091677 8145125331 4474279497 0554096889	Eric Jeancolas (17 Feb 2022)
327	2³²⁷ − 30361	1409151293 7742992448 7614485885 4969671218 4121059007 × 1940219916 8094962596 6555333732 8204095764 4135067481	Eric Jeancolas (27 Mar 2022)
328	2³²⁷ + 33885	1359203049 6240170262 1326917679 6328417541 6300888297 × 2011519475 8686437466 6658273786 7563947660 4984115029	Eric Jeancolas (27 Mar 2022)
329	2³²⁹ − 7723	3106750040 6334460150 8714063859 5651813875 5922833709 × 3520158841 5156917584 6236755558 6792655289 1665435721	Eric Jeancolas (17 Feb 2022)
330	2³²⁹ + 86787	2718620515 8005896153 9543476202 6884653607 6203674607 × 4022721656 2053017680 1017123618 5233346054 5534797357	Eric Jeancolas (27 Mar 2022)
331	2³³¹ − 51189	4944839585 0179485064 9805493447 3595652123 3904169883 × 8846599317 0335484689 1814379298 9688897782 1875285073	Eric Jeancolas (27 Mar 2022)
332	2³³¹ + 12893	4880886250 2923315697 2851593678 8506979395 6954308719 × 8962514644 3517737199 3700504508 9840220354 1924759539	Eric Jeancolas (15 Mar 2022)
333	2³³³ − 29623	1 0185369311 8518019934 7511659424 3635879944 5074683387 × 1 7179549668 2709710824 5073697046 4724251788 7787054987	Eric Jeancolas (16 Mar 2022)
334	2³³³ + 17577	1 0115664756 8700896957 5974966341 6930170428 4218716561 × 1 7297929714 7824739109 0108227528 0637020749 8610283929	Eric Jeancolas (15 Mar 2022)
335	2³³⁵ − 64077	2 3315703070 0473912143 6259546298 5834924501 6156486029 × 3 0019263404 9161086032 0375129953 0418968703 0085078079	Eric Jeancolas (27 Mar 2022)
336	2³³⁵ + 31799	1 8765353900 4743202777 3727811008 1616117411 3454703467 × 3 7298536208 9479358950 6343408532 0940573866 7793312101	Eric Jeancolas (11 Apr 2022)
337	2³³⁷ − 38905	3 9977501456 4139629368 4943578163 1794074083 0792592581 × 7 0031413313 1768387138 8872048879 7970852014 6096252507	Eric Jeancolas (11 Apr 2022)
338	2³³⁷ + 69297	3 9391415204 8941982932 9259490980 1017726658 1669143933 × 7 1073377616 9181162032 8741298826 3864700675 6014081093	Kevin Zhou (16 Jun 2021)
339	2³³⁹ − 27235	9 6730690490 8920452789 0783194500 0292449309 5732788319 × 11 5772188268 8666313356 0290828742 1910127831 2435085187	Kevin Zhou (16 Jun 2021)
340	2³³⁹ + 15885	8 8759235095 7138861091 7339416585 3974039624 5192826267 × 12 6169673485 9514200896 5335363226 3289789484 5904544119	Kevin Zhou (16 Jun 2021)
341	2³⁴¹ − 8619	17 6465964914 4643153965 7652818972 8038694364 6793315603 × 25 3844387869 7449545600 7307150207 9402191620 4500997111	Eric Jeancolas (12 Mar 2022)
342	2³⁴¹ + 8855	19 4453800152 8460668116 8663307227 8010619806 1453935341 × 23 0362660993 7479110101 2443125394 0263849182 9457598227	Eric Jeancolas (12 Mar 2022)
343	2³⁴³ − 66447	37 0907597551 4623031237 9872073415 7867140921 2165380237 × 48 3084144291 1228427365 5165403331 8720409343 0551745653	Eric Jeancolas (23 Apr 2022)
344	2³⁴³ + 127079	36 5994605683 3668425580 7725911654 2635428567 3994099001 × 48 9568907824 9368678253 1100971475 0522312570 3190640287	Eric Jeancolas (5 May 2022)
345	2³⁴⁵ − 142323	75 5612554861 0029719141 1421453498 0338610175 9363523553 × 94 8526216095 9457224440 4894404447 9438308769 9361281453	Eric Jeancolas (13 May 2022)
346	2³⁴⁵ + 31581	75 9856876337 9562956015 0562120729 5935725240 4839334483 × 94 3228047038 3313221394 9246515109 7466617748 3438093711	Eric Jeancolas (19 Apr 2022)
347	2³⁴⁷ − 139539	155 9224449137 7215127607 1540600617 1329424081 3127370001 × 183 8653358452 0308323775 7934704017 8941981835 8085749789	Eric Jeancolas (5 May 2022)
348	2³⁴⁷ + 3383	150 3349245445 2103138292 0490077237 7771423025 4716845187 × 190 6990859691 1407571172 9119386383 0844668269 9732219453	Eric Jeancolas (13 Mar 2022)
349	2³⁴⁹ − 26565	301 1245697729 7915841407 1585960337 9018394592 2932055419 × 380 8222320947 0472371388 5815666246 6752726031 9344923713	Kevin Zhou (5 Jul 2021)
350	2³⁴⁹ + 41801	275 3183976310 0076475418 3513574507 6732243469 4094141411 × 416 5175004149 1311706725 4750048012 6946865380 0611162083	Kevin Zhou (11 Jul 2021)
351	2³⁵¹ − 37629	541 0821333662 3751930603 1143603434 2069726100 6546122961 × 847 7450924951 1338538855 7882822463 1828986132 5315685779	Erik Branger (24 Mar 2021)
352	2³⁵¹ + 74939	647 1930363727 5716983586 3037359266 0911383154 4522059491 × 708 7525628656 8216854922 6936868884 1001499999 2674845257	Erik Branger (24 Mar 2021)
353	2³⁵³ − 4203	1252 6990967688 2800262400 1057252820 7773958210 6921689791 × 1464 6764714085 5997175976 5491811419 2366420188 8942622379	Erik Branger (25 Apr 2021)
354	2³⁵³ + 20321	1072 1261796568 4231006696 6612240167 6490992351 0204087201 × 1711 3646953190 9496395965 8984366702 8993093141 4420683713	Erik Branger (25 Apr 2021)
355	2³⁵⁵ − 6237	2010 7824606347 4095502015 5385948570 1044554099 9246436799 × 3649 9202250110 5116452215 9106374655 3896926889 8994717469	Erik Branger (25 Apr 2021)
356	2³⁵⁵ + 11609	2129 2654299404 8279183611 7051079944 8988598360 7534577991 × 3446 8204235924 5646786699 6882212035 3545020566 5111934047	Erik Branger (25 Apr 2021)
357	2³⁵⁷ − 84009	4531 4736135773 4286103874 9598051672 5493845667 2363539113 × 6478 4184545868 7143039115 5722278668 3204427330 3789018751	Erik Branger (25 Apr 2021)
358	2³⁵⁷ + 293447	4706 5275619670 8146570444 1183286028 4713442406 4755521003 × 6237 4610364341 1393320202 8846711057 8295335109 2003850773	Erik Branger (25 Apr 2021)
359	2³⁵⁹ − 123577	8189 2398864822 7215894707 7057303715 4054081251 8512510431 × 14339 1976259634 3433061717 0352122098 2530102181 3200029081	Erik Branger (24 Aug 2021)
360	2³⁵⁹ + 14621	10050 9912074890 0459161798 5149289205 1047182253 5126047147 × 11683 1391764820 7456964919 1181265273 9876168543 0631874647	Erik Branger (24 Aug 2021)
361	2³⁶¹ − 6273	15605 3727776229 2011030721 6464970968 9082599287 6952316309 × 30099 1538778424 9643267311 1610372142 3401064608 9476820931	Erik Branger (24 Aug 2021)
362	2³⁶¹ + 44571	15882 6750967179 1256308972 5547532204 4651158001 8944216381 × 29573 6400634317 5263301783 7576641932 9190135867 9995452983	Erik Branger (24 Aug 2021)
363	2³⁶³ − 291	40940 1389990098 9030912375 9652762084 3337614519 5035983021 × 45892 2248960733 8458027850 3635123364 1867163219 0977908977	Erik Branger (21 Oct 2021)
364	2³⁶³ + 163109	35945 4479917891 7497808832 0063876398 3645318997 4351828487 × 52269 0402035951 4021042583 8177320613 2337605435 6093003891	Erik Branger (21 Oct 2021)
365	2³⁶⁵ − 21055	66101 8887170614 8247866877 6999825750 9124818512 9696213497 × 113693 2152883627 2916753163 9399354764 1790151411 3750418441	Erik Branger (21 Oct 2021)
366	2³⁶⁵ + 25151	69757 2291719317 6731536583 2996210023 7419157161 9112667517 × 107735 5903336283 0224264470 4178756722 4802462791 5449550699	Erik Branger (21 Oct 2021)
367	2³⁶⁷ − 49791	156181 2307235181 1826670802 3028204636 5052522420 5281123073 × 192477 3221484056 3995530026 3993918661 5408105300 9157808769	Eric Jeancolas (28 Jun 2022)
368	2³⁶⁷ + 11385	140274 5011297400 4878164914 6353172078 0539115186 8141006977 × 214303 7032204541 0382230178 0596671759 1773649962 3853899769	Eric Jeancolas (14 May 2022)
369	2³⁶⁹ − 17715	296903 3952561499 8781736799 1619340214 1871406923 3204236711 × 404998 3333275119 4414615865 5407568690 1300087465 1729630827	Eric Jeancolas (15 May 2022)
370	2³⁶⁹ + 23597	300777 8489645433 0132681261 2092359985 9843028396 2953951133 × 399781 3690468781 4562232236 8461890652 2024256213 6539384273	Eric Jeancolas (12 Jun 2022)
371	2³⁷¹ − 3471	692989 0780724364 9340588815 0284103876 6954062531 6478282733 × 694067 9675499953 4829189933 8571628181 0050859441 9441563669	Eric Jeancolas (16 Apr 2022)
372	2³⁷¹ + 45203	513338 8986637017 6299804799 1231323457 6829670842 2597534267 × 936966 8306924493 1380690631 6556091156 7916918674 9525519753	Eric Jeancolas (29 Jun 2022)
373	2³⁷³ − 13443	1344487 1387719282 3774943370 7642503187 7176939878 3079837493 × 1430973 9590113616 7941689279 3723719119 5949155735 3353546793	Eric Jeancolas (18 May 2022)
374	2³⁷³ + 23531	1191587 1361226573 2923222814 5465532633 7461172137 9482690259 × 1614591 1830406691 6175015707 0354900773 6097581262 8115260297	Eric Jeancolas (13 Jun 2022)
375	2³⁷⁵ − 69127	2217062 4383597112 6018211193 2879232517 0063318485 5759082491 × 3471126 5691402658 6774512585 8635432009 1705206911 2439831451	Eric Jeancolas (17 Jul 2022)
376	2³⁷⁵ + 5891	2736405 4098735146 6163895967 9018553129 2573020137 7178219699 × 2812340 7107242258 3301745933 2440769217 5177867296 0691248241	Eric Jeancolas (16 Apr 2022)
377	2³⁷⁷ − 19755	4942189 7076957651 8725081392 0793452212 1732042819 2100439051 × 6228578 6587672885 3131605499 2825325474 1419040360 0336683167	Eric Jeancolas (19 May 2022)
378	2³⁷⁷ + 42201	5323063 6025991422 4989935734 4253224354 7636255091 1385217689 × 5782913 6826211453 8788739968 2423440902 6521598999 7217313857	Eric Jeancolas (1 Jul 2022)
379	2³⁷⁹ − 42061	10286088 5908379386 7309591417 0917023182 2684890621 0814061473 × 11970660 0109791654 6066708502 3220410737 5050216661 9725260499	Eric Jeancolas (3 Jul 2022)
380	2³⁷⁹ + 46655	9197042 3887994790 3320137308 1057695388 0438613538 7795351987 × 13388137 6379961958 0520083682 2232158373 2667952672 2207998789	Eric Jeancolas (4 Jul 2022)
381	2³⁸¹ − 149113	20656536 1507228154 4095089866 3983204704 3513102958 1749127533 × 23843546 3652359016 9660012508 3403491688 0130648045 1135638083	Eric Jeancolas (20 Jul 2022)
382	2³⁸¹ + 26405	21352299 9389948603 9278184886 8290670506 7206666610 8941126053 × 23066605 4177822751 6145381358 8370118908 7575418043 3354960769	Eric Jeancolas (14 Jun 2022)
383	2³⁸³ − 16099	34391873 3639721245 0901261468 9381058372 4971566220 4127227359 × 57283890 5566435597 9014665253 7622093451 1072461699 6109138051	Eric Jeancolas (19 May 2022)
384	2³⁸³ + 46011	36502143 1071095688 7572353313 3362564203 3533326169 3982932341 × 53972181 9630915044 9783507598 8244642582 4518616674 6480629359	Eric Jeancolas (29 Jun 2022)
385	2³⁸⁵ − 230259	75313806 7509497734 1372639477 3505045517 2435291368 0425314907 × 104634217 5391302610 5895355053 4490347827 2072031090 0077386039	Eric Jeancolas (19 Aug 2022)
386	2³⁸⁵ + 34625	75166222 7096943811 7491274749 4315994201 6004027843 2312868649 × 104839660 0919330247 9567489638 0376507149 3571937851 2919151193	Eric Jeancolas (3 Jul 2022)
387	2³⁸⁷ − 14599	146772277 2710207449 4772965459 1971779607 9584247939 5277387903 × 214765387 1916813564 4680469202 9745064933 7454956190 9054276743	Eric Jeancolas (22 May 2022)
388	2³⁸⁷ + 132825	128661244 7176559691 7973447400 1347988581 6027360307 3469566297 × 244996891 0707260226 8978149616 3687594365 9563705512 4313560449	Eric Jeancolas (10 Aug 2022)
389	2³⁸⁹ − 63241	282190786 9588022330 1256225780 2189999713 6034839854 6580121041 × 446812673 0404916368 5223114088 7410015769 9480983298 7893058631	Eric Jeancolas (18 Jul 2022)
390	2³⁸⁹ + 15885	302033841 9859936171 6490796576 0230497269 0961379202 4789163219 × 417457921 2693305041 6957210022 9821049416 2239042587 5868904863	Eric Jeancolas (23 May 2022)
391	2³⁹¹ − 76921	537908585 9336579652 8436910761 4291247955 2429131045 0917925447 × 937604813 3502965594 8641003998 4707200628 1722205717 5914472641	Eric Jeancolas (12 Jul 2022)
392	2³⁹¹ + 4941	649885127 5807878442 0769758758 9080068654 0187087562 6469526657 × 776053579 1783504666 6102546156 3106166895 3700950399 8410166477	Eric Jeancolas (26 Apr 2022)
393	2³⁹³ − 31749	1378390596 0893702889 7570537852 6549992299 3131710416 9874335261 × 1463578410 1973058659 8600834065 4150459883 9348783127 8777980663	Eric Jeancolas (29 Jun 2022)
394	2³⁹³ + 49439	1196786548 2449739030 4998764649 2737051688 9837276641 8734909483 × 1685666270 4086920353 3774484777 6925002037 8752375714 8376308957	Eric Jeancolas (3 Jul 2022)
395	2³⁹⁵ − 129151	2400173192 0675367609 0910904618 1395840020 7919314563 8164843303 × 3362061911 0700102225 0613900354 6878429478 7209683847 6053340439	Eric Jeancolas (10 Aug 2022)
396	2³⁹⁵ + 42839	2779662402 8423684151 0301116106 3479062464 6485753940 1373929417 × 2903061487 1683766576 9964657557 2913250447 7357740842 0998090271	Eric Jeancolas (6 Jul 2022)
397	2³⁹⁷ − 93981	4751003403 4008103326 2599061880 2728441868 1123695677 0454470799 × 6793959240 9008569820 8583127689 9059229746 0607993958 8907494509	Eric Jeancolas (22 Jul 2022)
398	2³⁹⁷ + 13491	5536500153 4550445269 1743434876 0676178896 7610981098 6254792209 × 5830059167 6030647903 2014612512 0679744394 0384958827 2458738307	Eric Jeancolas (30 May 2022)
399	2³⁹⁹ − 3495	8241306955 6640504105 6196052483 1438938607 3559756321 9132168499 × 1 5666507096 3786324608 9635058971 0156513380 1202068023 2342986307	Eric Jeancolas (30 Apr 2022)
400	2³⁹⁹ + 198081	9584751790 9838993878 8302078006 5065748806 6988010900 4475769191 × 1 3470614233 9333025528 0618751742 9252886068 4914361621 2857937559	fivemack (30 Sep 2020)

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Written by Dario Alpern. Last updated on August 19th, 2022.

Base-2 brilliant numbers

Table of contents

Maximal and minimal 2-brilliant numbers