Números 3-brillantes

Alpertron
Problemas matemáticos
Números 3-brillantes

Los números brillantes, definidos por Peter Wallrodt, son números con dos factores primos de la misma longitud (en notación decimal). Estos números se usan generalmente para propósitos criptográficos, y para hallar el rendimiento de los programas de factorización.

El problema consiste en continuar la tabla que se muestra abajo. Esta tabla contiene los números brillantes más pequeños y más grandes con una cantidad dada de dígitos.

Es posible definir números n-brillantes como el producto de n números primos de la misma longitud.

Índice

Números 2-brillantes máximos y mínimos no triviales

Números 3-brillantes mínimos

Números 3-brillantes máximos

Números 4-brillantes mínimos

Números 4-brillantes máximos

Números 5-brillantes mínimos

Números 5-brillantes máximos

Números 6-brillantes mínimos

Números 6-brillantes máximos

Números 2-brillantes máximos y mínimos no triviales en base 2

Densidad de números brillantes (por Richard Heylen)

Números 3-brillantes mínimos

A continuación se enumeran los menores números de una determinada cantidad de dígitos que tienen tres factores primos del mismo tamaño expresados en notación decimal.

**Números 3-brillantes mínimos**
Dígitos	Mínimo	Factores primos	Hallado por
1	8	2 × 2 × 2	Trivial
2	12	2 × 2 × 3
3	105	3 × 5 × 7
4	1331	11 × 11 × 11	Trivial
5	10013	17 × 19 × 31
6	100181	17 × 71 × 83
7	1030301	101 × 101 × 101	Trivial
8	10⁷ + 127	167 × 233 × 257	Sander Hoogendoorn
9	10⁸ + 727	331 × 397 × 761	Sander Hoogendoorn
10	1009³	1009 × 1009 × 1009	Trivial
11	10¹⁰ + 2797	1201 × 1367 × 6091	Richard Heylen
12	10¹¹ + 757	2879 × 4643 × 7481	Richard Heylen
13	10007³	10007 × 10007 × 10007	Trivial
14	10¹³ + 493	14779 × 22397 × 30211	Richard Heylen
15	10¹⁴ + 5643	36887 × 48679 × 55691	Richard Heylen
16	100003³	100003 × 100003 × 100003	Trivial
17	10¹⁶ + 1251	165833 × 205703 × 293149	Richard Heylen
18	10¹⁷ + 649	211801 × 589189 × 801341	Richard Heylen
19	(10⁶ + 3)³	1000003 × 1000003 × 1000003	Trivial
20	10¹⁹ + 2149	1633561 × 2124037 × 2882057	Richard Heylen
21	10²⁰ + 6043	1418159 × 8250113 × 8547029	Richard Heylen
22	(10⁷ + 19)³	10000019 × 10000019 × 10000019	Trivial
23	10²² + 2427	10073153 × 31104971 × 31915729	Richard Heylen
24	10²³ + 1509	21110813 × 49732283 × 95248171	Richard Heylen
25	(10⁸ + 7)³	100000007 × 100000007 × 100000007	Trivial
26	10²⁵ + 16189	106371977 × 114768809 × 819122573	Richard Heylen
27	10²⁶ + 5751	236902847 × 554251279 × 761593127	Richard Heylen
28	(10⁹ + 7)³	1000000007 × 1000000007 × 1000000007	Trivial
29	10²⁸ + 14707	1005841013 × 2737363219 × 3631936381	Richard Heylen
30	10²⁹ + 29013	1691348917 × 6316788229 × 9359884141	Richard Heylen
31	(10¹⁰ + 19)³	1 0000000019 × 1 0000000019 × 1 0000000019	Trivial
32	10³¹ + 5893	1 1198428391 × 1 3492646957 × 6 6182895839	Richard Heylen
33	10³² + 1927	2 6464641997 × 4 0362051277 × 9 3618299183	Richard Heylen
34	(10¹¹ + 3)³	10 0000000003 × 10 0000000003 × 10 0000000003	Trivial
35	10³⁴ + 52737	11 9495634017 × 22 4778984407 × 37 2299332423	Richard Heylen
36	10³⁵ + 4399	30 2832767711 × 34 5905509051 × 95 4640061059	Richard Heylen
37	(10¹² + 39)³	100 0000000039 × 100 0000000039 × 100 0000000039	Trivial
38	10³⁷ + 123819	123 6706881791 × 237 4655713867 × 340 5121160927	Jim Fougeron
39	10³⁸ + 158041	358 6186059383 × 436 7940094321 × 638 3965165087	Jim Fougeron
40	(10¹³ + 37)³	1000 0000000037 × 1000 0000000037 × 1000 0000000037	Trivial
41	10⁴⁰ + 130957	1281 4854302599 × 1496 4561505277 × 5214 6159843559	Richard Heylen
42	10⁴¹ + 17353	2440 7650660903 × 5506 9088040739 × 7439 8835289509	Richard Heylen
43	(10¹⁴ + 31)³	10000 0000000031 × 10000 0000000031 × 10000 0000000031	Trivial
44	10⁴³ + 59587	10166 3821593379 × 15425 1196872133 × 63768 3274853741	Donovan Johnson (17 sep 2007)
45	10⁴⁴ + 65863	18398 4656831567 × 55543 9604761381 × 97854 6684274069	Jim Fougeron
46	(10¹⁵ + 37)³	100000 0000000037 × 100000 0000000037 × 100000 0000000037	Trivial
47	10⁴⁶ + 50527	137914 3216396571 × 213075 1443448703 × 340296 7810987379	Jim Fougeron
48	10⁴⁷ + 88291	277201 5045385711 × 408008 7583803271 × 884168 2815196811	Jim Fougeron
49	(10¹⁶ + 61)³	1000000 0000000061 × 1000000 0000000061 × 1000000 0000000061	Trivial
50	10⁴⁹ + 31741	1477866 4291304861 × 2568301 3132372291 × 2634625 2045255691	Jim Fougeron
51	10⁵⁰ + 124891	2122320 4371030971 × 6304899 9783056603 × 7473272 9167701107	Jim Fougeron
52	(10¹⁷ + 3)³	10000000 0000000003 × 10000000 0000000003 × 10000000 0000000003	Trivial
53	10⁵² + 136711	12716423 8960370737 × 25943070 2647849189 × 30311932 9497323627	Richard Heylen (10 may 2002)
54	10⁵³ + 17473	12457905 9080641657 × 83390332 7864200817 × 96258534 7616078617	Richard Heylen (10 may 2002)
55	(10¹⁸ + 3)³	100000000 0000000003 × 100000000 0000000003 × 100000000 0000000003	Trivial
56	10⁵⁵ + 32089	126722711 3342116519 × 184343166 8851243501 × 428073653 6975381531	Richard Heylen (14 may 2002)
57	10⁵⁶ + 492649	251438064 2884427987 × 434295442 1922749933 × 915764288 9778573119	Richard Heylen (14 may 2002)
58	(10¹⁹ + 51)³	1000000000 0000000051 × 1000000000 0000000051 × 1000000000 0000000051	Trivial
59	10⁵⁸ + 108081	1382807541 0413032133 × 1798042702 8526107161 × 4021964739 9720069637	Richard Heylen (22 may 2002)
60	10⁵⁹ + 76107	2599642935 6478022461 × 5457870597 0898911931 × 7047954054 5693881477	Richard Heylen (22 may 2002)
61	(10²⁰ + 39)³	1 0000000000 0000000039 × 1 0000000000 0000000039 × 1 0000000000 0000000039	Trivial
62	10⁶¹ + 188527	1 9821525341 8203418427 × 2 1206321053 7599457801 × 2 3790172759 8652088501	Donovan Johnson (27 sep 2007)
63	10⁶² + 1058637	2 9593875829 6861970419 × 4 4814436878 5742725801 × 7 5401538810 2253507623	Richard Heylen (27 jun 2002)
64	(10²¹ + 117)³	10 0000000000 0000000117 × 10 0000000000 0000000117 × 10 0000000000 0000000117	Trivial
65	10⁶⁴ + 85803	17 1461845086 4782471611 × 23 2923426947 9119539521 × 25 0391358260 3801962513	Richard Heylen (27 jun 2002)
66	10⁶⁵ + 149259	18 3580861255 1245318829 × 57 2853769551 6908168719 × 95 0886806847 6315618809	Richard Heylen (30 ene 2003)
67	(10²² + 9)³	100 0000000000 0000000009 × 100 0000000000 0000000009 × 100 0000000000 0000000009	Trivial
68	10⁶⁷ + 534037	115 8954802574 1092487547 × 189 6542279290 5017360051 × 454 9576497188 6030329621	Richard Heylen (16 mar 2003)
69	10⁶⁸ + 192507	176 6320167295 9682401741 × 683 4753220280 3380194037 × 828 3382842585 6284929771	Richard Heylen (21 mar 2003)
70	(10²³ + 117)³	1000 0000000000 0000000117 × 1000 0000000000 0000000117 × 1000 0000000000 0000000117	Trivial
71	10⁷⁰ + 438499	1259 3244371059 7528749973 × 2199 5124563197 3461246409 × 3610 2389157466 9178861407	Richard Heylen (14 oct 2003)
72	10⁷¹ + 283093	2238 7074327638 9461972199 × 6355 3366464579 5858603047 × 7028 5234549167 2800196581	Richard Heylen (14 oct 2003)
73	(10²⁴ + 7)³	10000 0000000000 0000000007 × 10000 0000000000 0000000007 × 10000 0000000000 0000000007	Trivial
74	10⁷³ + 111441	15607 4218077108 3281388349 × 17935 7719727113 3261268279 × 35723 0686613036 4500807171	Richard Heylen (5 abr 2004)
75	10⁷⁴ + 15061	42834 5259412020 4339048033 × 45050 7064313332 3591195913 × 51820 8377594326 7656500109	Richard Heylen (19 feb 2004)
76	(10²⁵ + 13)³	100000 0000000000 0000000013 × 100000 0000000000 0000000013 × 100000 0000000000 0000000013	Trivial
77	10⁷⁶ + 65311	106096 3922549809 4253225569 × 118804 5819815268 6560316113 × 793352 4974184647 7883350863	Donovan Johnson (6 oct 2007)
78	10⁷⁷ + 395353	260227 3801254267 9467808233 × 507893 9572456573 7472464827 × 756613 2888663368 2119158083	Donovan Johnson (9 oct 2007)
79	(10²⁶ + 67)³	1000000 0000000000 0000000067 × 1000000 0000000000 0000000067 × 1000000 0000000000 0000000067	Trivial
80	10⁷⁹ + 141007	1311929 6593333708 0026159611 × 1681380 9430579947 2246027887 × 4533392 5729019896 9207621651	Sander Hoogendoorn (30 ene 2009)
81	10⁸⁰ + 512791	1307796 1376552144 9101299013 × 7882093 0231191533 6992164037 × 9701042 1946953081 1374862511	Predrag Minovic (12 sep 2012)
82	(10²⁷ + 103)³	10000000 0000000000 0000000103 × 10000000 0000000000 0000000103 × 10000000 0000000000 0000000103	Trivial
83	10⁸² + 271299	12112110 9034138681 5274647791 × 17564740 0991876858 7793772707 × 47004391 3225691217 2773687727	Sander Hoogendoorn (23 may 2013)
84	10⁸³ + 98139	29474614 7879840819 2839197957 × 54423026 9838121507 9209241177 × 62340340 3124613875 6437429751	Eric Jeancolas (20 feb 2021)
85	(10²⁸ + 331)³	100000000 0000000000 0000000331 × 100000000 0000000000 0000000331 × 100000000 0000000000 0000000331	Trivial
86	10⁸⁵ + 107473	123471741 9085364492 3628605843 × 189888234 9842524061 3108727011 × 426515056 7566734263 4613401401	Tom Womack (6 oct 2017)
87	10⁸⁶ + 63441	296455930 3533550061 0224949351 × 369244653 8790938294 7260360483 × 913535947 5100706743 4879388877	Eric Jeancolas (7 feb 2021)
88	(10²⁹ + 319)³	1000000000 0000000000 0000000319 × 1000000000 0000000000 0000000319 × 1000000000 0000000000 0000000319	Trivial
89	10⁸⁸ + 589513	1796924976 4407781528 0235074967 × 1867183387 5828977908 7856710603 × 2980458506 3050832776 3477193213	Eric Jeancolas (23 abr 2021)
90	10⁸⁹ + 73323	2591522372 4716143965 2350228147 × 5044898843 6257192017 2169861461 × 7648787140 7065110045 6868707269	Eric Jeancolas (10 mar 2021)
91	(10³⁰ + 57)³	1 0000000000 0000000000 0000000057 × 1 0000000000 0000000000 0000000057 × 1 0000000000 0000000000 0000000057	Trivial
92	10⁹¹ + 1747867	1 3904214840 1561908842 2314646697 × 1 5546793276 0316033159 1916109273 × 4 6260753947 9864108713 9572466907	Eric Jeancolas (3 sep 2022)
93	10⁹² + 1261411	2 2354302485 8539104850 3284231737 × 4 9636156166 1102551030 9571198893 × 9 0124057183 7094244329 5863318471	Eric Jeancolas (30 ago 2022)
94	(10³¹ + 33)³	10 0000000000 0000000000 0000000033 × 10 0000000000 0000000000 0000000033 × 10 0000000000 0000000000 0000000033	Trivial
95	10⁹⁴ + 221793	16 2183722566 8386132858 4137655943 × 17 2994198482 6243648752 2712225523 × 35 6419286627 3122152097 6948804237	Eric Jeancolas (22 abr 2021)
96	10⁹⁵ + 464617	21 7628945333 3116650060 4763769679 × 51 1915348214 2120885757 6108338903 × 89 7604852765 8317977718 1964161041	Eric Jeancolas (22 jun 2021)
97	(10³² + 49)³	100 0000000000 0000000000 0000000049 × 100 0000000000 0000000000 0000000049 × 100 0000000000 0000000000 0000000049	Trivial
98	10⁹⁷ + 742899	153 6679552843 8095199490 2028097009 × 180 2004229736 1177752266 9436954311 × 361 1277661064 4390882389 0313832901	Eric Jeancolas (4 sep 2022)
99	10⁹⁸ + 406513	392 4632677803 4360241914 5429018929 × 439 0564228841 5177912224 6904727111 × 580 3375201828 7213257154 8830508727	Eric Jeancolas (11 jul 2021)
100	(10³³ + 61)³	1000 0000000000 0000000000 0000000061 × 1000 0000000000 0000000000 0000000061 × 1000 0000000000 0000000000 0000000061	Trivial
101	10¹⁰⁰ + 465817	1582 3333498380 7043832180 2396273557 × 1643 2395331569 6536673578 6280113239 × 3845 9279495308 0737312238 3445157779	Tom Womack (3 ago 2024)
102	10¹⁰¹ + 862287	3107 8700997080 9718804474 1501513777 × 3791 3087803065 6789473724 0153104981 × 8486 8785071447 7951064843 4679755651	Tom Womack (15 ago 2024)
103	(10³⁴ + 193)³	10000 0000000000 0000000000 0000000193 × 10000 0000000000 0000000000 0000000193 × 10000 0000000000 0000000000 0000000193	Trivial

Números 3-brillantes máximos

A continuación se enumeran los mayores números de una determinada cantidad de dígitos que tienen tres factores primos del mismo tamaño expresados en notación decimal.

**Números 3-brillantes máximos**
Dígitos	Mínimo	Factores primos	Hallado por
1	8	2 × 2 × 2	Richard Heylen
2	98	2 × 7 × 7	Richard Heylen
3	343	7 × 7 × 7	Trivial
4	9971	13 × 13 × 59	Richard Heylen
5	99937	37 × 37 × 73	Richard Heylen
6	912673	97 × 97 × 97	Trivial
7	10⁷ − 293	101 × 181 × 547	Richard Heylen
8	10⁸ − 333	223 × 509 × 881	Richard Heylen
9	991026973	997 × 997 × 997	Trivial
10	10¹⁰ − 533	1117 × 1997 × 4483	Richard Heylen
11	10¹¹ − 993	3847 × 4481 × 5801	Richard Heylen
12	9973³	9973 × 9973 × 9973	Trivial
13	10¹³ − 5229	10589 × 22679 × 41641	Richard Heylen
14	10¹⁴ − 5883	29333 × 53693 × 63493	Richard Heylen
15	99991³	99991 × 99991 × 99991	Trivial
16	10¹⁶ − 2903	146383 × 182981 × 373339	Richard Heylen
17	10¹⁷ − 7977	251879 × 616999 × 643463	Richard Heylen
18	999983³	999983 × 999983 × 999983	Trivial
19	10¹⁹ − 537	1081631 × 1505773 × 6139901	Eric Jeancolas (2 sep 2021)
20	10²⁰ − 11297	2994503 × 5625617 × 5936153	Richard Heylen
21	(10⁷ − 9)³	9999991 × 9999991 × 9999991	Trivial
22	10²² − 773	10186663 × 19042489 × 51551861	Richard Heylen
23	10²³ − 489	18775423 × 57543443 × 92558099	Richard Heylen
24	(10⁸ − 11)³	99999989 × 99999989 × 99999989	Trivial
25	10²⁵ − 3899	125786989 × 158352281 × 502041889	Richard Heylen
26	10²⁶ − 16359	180617837 × 594451513 × 931371461	Richard Heylen
27	(10⁹ − 63)³	999999937 × 999999937 × 999999937	Trivial
28	10²⁸ − 13067	1292215579 × 1624184473 × 4764635399	Richard Heylen
29	10²⁹ − 16409	2228847419 × 5521017059 × 8126444471	Richard Heylen
30	(10¹⁰ − 33)³	9999999967 × 9999999967 × 9999999967	Trivial
31	10³¹ − 64611	1 3689527419 × 1 9896130049 × 3 6714949319	Richard Heylen
32	10³² − 21003	4 1994700453 × 4 2965141327 × 5 5422902687	Richard Heylen (26 abr 2002)
33	(10¹¹ − 23)³	9 9999999977 × 9 9999999977 × 9 9999999977	Trivial
34	10³⁴ − 14933	11 4850721137 × 11 8686379657 × 73 3610250563	Richard Heylen (26 abr 2002)
35	10³⁵ − 25911	27 3483275773 × 44 5466326247 × 82 0832127419	Richard Heylen (26 abr 2002)
36	(10¹² − 11)³	99 9999999989 × 99 9999999989 × 99 9999999989	Trivial
37	10³⁷ − 28839	126 2313101783 × 194 6468711927 × 406 9916348521	Richard Heylen (26 abr 2002)
38	10³⁸ − 149759	345 9465859009 × 532 8480059843 × 542 4848400043	Richard Heylen
39	(10¹³ − 29)³	999 9999999971 × 999 9999999971 × 999 9999999971	Trivial
40	10⁴⁰ − 213617	1736 3198401447 × 2073 9646816249 × 2776 9554715361	Richard Heylen
41	10⁴¹ − 6567	3490 3487411119 × 4206 3334550063 × 6811 2603333689	Richard Heylen
42	(10¹⁴ − 27)³	9999 9999999973 × 9999 9999999973 × 9999 9999999973	Trivial
43	10⁴³ − 146909	17230 0505289967 × 21182 0845471373 × 27399 6333782401	Jim Fougeron
44	10⁴⁴ − 196587	20479 7993723737 × 52922 0463976397 × 92265 1459305617	Jim Fougeron
45	(10¹⁵ − 11)³	99999 9999999989 × 99999 9999999989 × 99999 9999999989	Trivial
46	10⁴⁶ − 65553	125723 9303812309 × 151446 2531713763 × 525198 5486925041	Jim Fougeron
47	10⁴⁷ − 62673	224934 0625367531 × 563498 2736187193 × 788954 9094998069	Jim Fougeron
48	(10¹⁶ − 63)³	999999 9999999937 × 999999 9999999937 × 999999 9999999937	Trivial
49	10⁴⁹ − 192557	1058441 9300262271 × 2795992 9042948027 × 3379067 7470564279	Jim Fougeron
50	10⁵⁰ − 229457	1894695 1128091531 × 6304619 1097099543 × 8371471 6546569371	Jim Fougeron
51	(10¹⁷ − 3)³	9999999 9999999997 × 9999999 9999999997 × 9999999 9999999997	Trivial
52	10⁵² − 176477	13399866 7582700839 × 17468634 2410900561 × 42720917 2135519637	Richard Heylen (10 may 2002)
53	10⁵³ − 288257	32617132 6139830487 × 47938152 2599043591 × 63954768 3418675679	Richard Heylen (10 may 2002)
54	(10¹⁸ − 11)³	99999999 9999999989 × 99999999 9999999989 × 99999999 9999999989	Trivial
55	10⁵⁵ − 219503	157585384 5858412391 × 165541565 2335968641 × 383333705 0952127687	Richard Heylen (14 may 2002)
56	10⁵⁶ − 40667	239581094 6112780733 × 446672666 6846584747 × 934454323 5276726683	Richard Heylen (14 may 2002)
57	(10¹⁹ − 39)³	999999999 9999999961 × 999999999 9999999961 × 999999999 9999999961	Trivial
58	10⁵⁸ − 267239	1163253259 4322798479 × 2661830385 6556487219 × 3229574769 2831078861	Richard Heylen (22 may 2002)
59	10⁵⁹ − 76619	2825675991 8246059307 × 3854917296 1130847991 × 9180420482 2980213913	Richard Heylen (22 may 2002)
60	(10²⁰ − 11)³	9999999999 9999999989 × 9999999999 9999999989 × 9999999999 9999999989	Trivial
61	10⁶¹ − 8399	1 4088159424 6452086939 × 2 3890394837 5968285643 × 2 9711352029 1914005513	Richard Heylen (28 jun 2002)
62	10⁶² − 28967	1 2676593856 5324144143 × 8 7003181005 3723383309 × 9 0669723676 7450667059	Richard Heylen (27 jun 2002)
63	(10²¹ − 101)³	9 9999999999 9999999899 × 9 9999999999 9999999899 × 9 9999999999 9999999899	Trivial
64	10⁶⁴ − 57651	10 6103534557 8788338541 × 13 9102334164 5011752009 × 67 7541234185 8197416921	Richard Heylen (27 jun 2002)
65	10⁶⁵ − 1729751	36 7767954753 0663653161 × 42 5453729589 6375206353 × 63 9107303208 8863400753	Richard Heylen (30 ene 2003)
66	(10²² − 27)³	99 9999999999 9999999973 × 99 9999999999 9999999973 × 99 9999999999 9999999973	Trivial
67	10⁶⁷ − 901821	101 0161589369 2369271767 × 175 3197498667 5607157429 × 564 6486665490 9501084353	Richard Heylen (18 may 2003)
68	10⁶⁸ − 26039	120 7401700536 6544874783 × 872 3600094359 8050131963 × 949 4070848989 2063116309	Richard Heylen (5 ene 2003)
69	(10²³ − 23)³	999 9999999999 9999999977 × 999 9999999999 9999999977 × 999 9999999999 9999999977	Trivial
70	10⁷⁰ − 96509	1684 0885923695 8014948709 × 2405 4935104168 0305101809 × 2468 4871816119 2945885111	Richard Heylen (17 mar 2003)
71	10⁷¹ − 171	3509 1941151598 9914399433 × 4560 9564421345 3949493941 × 6247 9375924139 8759715993	Richard Heylen
72	(10²⁴ − 257)³	9999 9999999999 9999999743 × 9999 9999999999 9999999743 × 9999 9999999999 9999999743	Trivial
73	10⁷³ − 501113	10844 8458466000 5964247077 × 15463 1968413928 6596653819 × 59631 7194949592 5649715649	Donovan Johnson (6 oct 2007)
74	10⁷⁴ − 23523	31460 2520361192 1936230217 × 44922 2009713864 7112441799 × 70758 1999245055 6090832419	Richard Heylen (5 abr 2004)
75	(10²⁵ − 123)³	99999 9999999999 9999999877 × 99999 9999999999 9999999877 × 99999 9999999999 9999999877	Trivial
76	10⁷⁶ − 291249	156338 9040025985 6213478307 × 238216 4449900325 7798605369 × 268510 4533026086 7259821197	Donovan Johnson (9 oct 2007)
77	10⁷⁷ − 910473	365062 6716720221 7741394931 × 514317 5938881582 8667418817 × 532600 0356494565 4181942701	Predrag Minovic (8 abr 2007)
78	(10²⁶ − 141)³	999999 9999999999 9999999859 × 999999 9999999999 9999999859 × 999999 9999999999 9999999859	Trivial
79	10⁷⁹ − 392931	1432925 1395737272 7386413437 × 2640881 8513041709 3421531701 × 2642576 2402309615 9956859837	Donovan Johnson (16 dic 2007)
80	10⁸⁰ − 939867	3207104 4525974968 2508487803 × 3373862 7456553743 0125750899 × 9241862 1092883564 9321701989	Predrag Minovic (3 sep 2012)
81	(10²⁷ − 99)³	9999999 9999999999 9999999901 × 9999999 9999999999 9999999901 × 9999999 9999999999 9999999901	Trivial
82	10⁸² − 824699	14013537 2015632627 5741192121 × 18825728 3996742299 7259954433 × 37905343 8349672298 4007117357	Predrag Minovic (2 oct 2012)
83	10⁸³ − 885423	14785051 5623808653 2862154217 × 78520563 8428521024 8669321399 × 86137794 3534300668 2061087519	Predrag Minovic (15 ene 2014)
84	(10²⁸ − 209)³	99999999 9999999999 9999999791 × 99999999 9999999999 9999999791 × 99999999 9999999999 9999999791	Trivial
85	10⁸⁵ − 224621	165902310 2954821439 8579319783 × 216200991 6767477110 0153066907 × 278798147 9648610453 6348179759	Tom Womack (11 oct 2017)
86	10⁸⁶ − 2007389	339676934 4672161916 2411558729 × 461639453 7367710748 5245801167 × 637721448 9169617228 5401983877	Alfred Reich (15 oct 2020)
87	(10²⁹ − 27)³	999999999 9999999999 9999999973 × 999999999 9999999999 9999999973 × 999999999 9999999999 9999999973	Trivial
88	10⁸⁸ − 697107	1125822613 7891933812 3979183167 × 1208947663 7781416400 1721854681 × 7347211330 7077215068 1018962059	Tom Womack (11 oct 2017)
89	10⁸⁹ − 63959	3751418337 2057403733 2021776407 × 3758336434 7862039939 9473313473 × 7092655218 3505822520 6200687231	Eric Jeancolas (7 feb 2021)
90	(10³⁰ − 11)³	9999999999 9999999999 9999999989 × 9999999999 9999999999 9999999989 × 9999999999 9999999999 9999999989	Trivial
91	10⁹¹ − 1250741	1 1309077420 7898721464 3014936029 × 2 0649843952 7843243568 1546498733 × 4 2820925409 7828798047 0405630787	Alfred Reich (24 dic 2020)
92	10⁹² − 213767	3 4161703953 4296068045 8281975983 × 4 7439561246 5315308689 2442424093 × 6 1704922547 8671399999 6262136707	Eric Jeancolas (3 abr 2021)
93	(10³¹ − 27)³	9 9999999999 9999999999 9999999973 × 9 9999999999 9999999999 9999999973 × 9 9999999999 9999999999 9999999973	Trivial
94	10⁹⁴ − 95409	10 1214796572 7209035057 0075342809 × 21 7639681449 0767629100 4372179669 × 45 3960339203 6252815526 9016240971	Eric Jeancolas (14 mar 2021)
95	10⁹⁵ − 1745013	25 0636356853 6069343238 4180171219 × 53 2997889340 5520718651 0259837007 × 74 8566593064 7000644889 1738154439	Eric Jeancolas (17 oct 2022)
96	(10³² − 21)³	99 9999999999 9999999999 9999999979 × 99 9999999999 9999999999 9999999979 × 99 9999999999 9999999999 9999999979	Trivial
97	10⁹⁷ − 105509	149 0150400262 5722216609 7912698239 × 224 9300240101 7664582009 0231918709 × 298 3475436742 7374528674 3123453041	Eric Jeancolas (22 mar 2021)
98	10⁹⁸ − 479363	229 6848356449 8627939487 2995018929 × 511 8107582539 7503704233 2287285553 × 850 6644164846 8064637041 3587356701	Eric Jeancolas (28 ago 2022)
99	(10³³ − 9)³	999 9999999999 9999999999 9999999991 × 999 9999999999 9999999999 9999999991 × 999 9999999999 9999999999 9999999991	Trivial
100	10¹⁰⁰ − 3302127	1081 6995931311 8274341069 4185335271 × 2147 1784151058 2647426781 1749381803 × 4305 5159353606 7853560917 1490104021	Tom Womack (2 nov 2017)
101	10¹⁰¹ − 1743569	2926 6996384187 6367546775 0588859927 × 5423 4547246540 2083145596 2529374507 × 6300 0765595232 1900154187 4896294779	Tom Womack (21 ago 2024)
102	(10³⁴ − 411)³	9999 9999999999 9999999999 9999999589 × 9999 9999999999 9999999999 9999999589 × 9999 9999999999 9999999999 9999999589	Trivial

Si usted conoce un número que deba ir en estas tablas o tiene algún comentario, por favor llene el formulario.

Escrito por Darío Alpern. Actualizado el 22 de agosto de 2024.