Factores de 1000 números comenzando desde 1 gúgolplex

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  2. Teoría de números
  3. Factores de 1000 números comenzando desde 1 gúgolplex

por Dario Alejandro Alpern

La siguiente tabla contiene todos los factores que conozco del tipo 1010^100 + n, con 0 ≤ n < 1000.

Estos números no tienen otros factores primos menores que 350 × 1012.

Si ud. conoce otro factor primo de alguno de los números que figura en la tabla o si tiene alguna aplicación para esta tabla por favor hágamelo saber llenando el formulario.

Obsérvese la gran cantidad de factores primos pequeños de gúgolplex + 10 comparado con otros números.

Todos los factores no encontrados por mí están marcados en negrita. Los descubridores son: RH = Robert Harley, AC = Alejandra Cartamil, GM = Gustavo Moyano.

Hay 14 números sin factores conocidos.

Vea también la tabla relacionada que incluye los factores primos conocidos de gúgolplex más potencias de 10, es decir, de la forma gúgolplex + 10Exp, con 0 <= Exp <= 9 y la tabla que incluye los factores primos conocidos de 1000 números hasta gúgolplex, es decir, la forma gúgolplex - n, con 0 ≤ < 1000.

nFactores primos conocidos
0210^100 × 510^100
1316912 6500570573 5037417580 1344000001 (RH) ×
155409907 1060601942 8941102352 8840396801 (RH) ×
1467607904 4323299649 4469092393 7202176001 (RH) ×
1 1438565962 9969137400 6790782976 0000000001 (RH) ×
49 5176015714 1521099596 4968960000 0000000001 (RH) ×
739 9415202816 5749791270 4531169280 0000000001 (RH) ×
982 3157208340 7610249634 2232457543 6800000001 (RH) ×
100727 3002269494 8676990486 3618395851 9808000001 (RH) ×
4 9333361276 5059415097 3974773760 0000000000 0000000001 (RH) ×
80 1995827673 5747672058 7350999040 0000000000 0000000001 (RH) ×
8 3010348331 6929822720 0000000000 0000000000 0000000000 0000000001 (RH) ×
325 1238642991 3084723200 0000000000 0000000000 0000000000 0000000001 (RH) ×
3 5343349155 6781785088 0000000000 0000000000 0000000000 0000000000 0000000001 (RH) ×
15 6941061512 2383454863 3600000000 0000000000 0000000000 0000000000 0000000001 (RH) ×
3 7079160476 9783808000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (RH)
22 × 3
37 × 1429
422 × 1129 × 1181 × 18917 × 54917 × 14950993 × 2936848501 × 63822551333
53 × 5 × 29 × 666666667 × 1211294101
62
753 × 353872676317843 (GM)
823 × 32 × 427169 × 49173281 × 4385612934281
95501 × 7013
10Vea 57446 factores primos conocidos (encontrados mayormente usando el programa escrito por David Broadhurst y mejorado por Phil Carmody).
113 × 59 × 599
1222 × 1327 × 2551 × 10695384821227
131645318771
142 × 3 × 61 × 7539110771 × 21701791399 × 15608210016697
155 × 211 × 41018010961
1624 × 17 × 241 × 1161448529 × 2037472097
1733 × 7 × 1831
182
1943 × 12244391969671 × 42453618882179
2022 × 3 × 5 × 389 × 25247
2111 × 173 × 5248169
222 × 233886337 × 4448347516321
233 × 13 × 139 × 673 × 18301 × 104659 × 23387719 × 162858473
2423 × 7 × 1451 × 10039
2552 × 18797 × 29077 × 192357401899121
262 × 32 × 31 × 71
2737 × 79 × 4159 × 21187 × 79987 × 696481 × 270270271
2822 × 8297 × 12329 × 208403913852899
293 × 19 × 109 × 1171
302 × 5 × 13879 × 61385274259703
317
3225 × 3 × 11 × 9241 × 112297 × 975827 × 4278179 × 48445721 × 49269296611
3317 × 23 × 127 × 1877 × 321733 × 2321089
342 × 29 × 598307 × 110945581
3532 × 5
3622 × 13
37Sin factores primos conocidos
382 × 3 × 7 × 47 × 239 × 7933 × 192026578441
39197 × 60003571 × 206573353556989
4023 × 5 × 41 × 8219 × 30757 × 1445771
413 × 1021 × 25888081
422 × 883
4311 × 7477 × 1067249479
4422 × 33 × 9221
455 × 72 × 7547 × 11226269
462 × 1823
473 × 10529 × 83063 × 504000949
4824 × 19 × 3994021
4913 × 661 × 1069 × 146931248021 × 3297598558081
502 × 3 × 52 × 17 × 2777
51131 × 269 × 386809
5222 × 7 × 14887 × 168737 × 732243923
5332 × 199729 × 4981333933 × 792366601987
542 × 11 × 105827357
555
5623 × 3 × 23 × 10499 × 404837
5731 × 67 × 2086841 × 301987293389
582 × 198327133 × 75824378571547
593 × 7 × 2917 × 179717
6022 × 5 × 532 × 349 × 3467 × 6875041 × 272179566070441
6113238169517 × 1593288505663
622 × 32 × 13 × 43 × 97 × 3043421
6329
6426 × 37 × 113 × 457 × 733 × 5861 × 19381 × 73637 × 1293995581 × 720166287661
653 × 5 × 11 × 701
662 × 7 × 6763 × 27539 × 254281 × 10810932679 × 43016445061
6717 × 19 × 16553
6822 × 3 × 157 × 2851
69167 × 3929 × 727621 × 6984751
702 × 5 × 59 × 109007629 × 217556491
7134 × 947 × 1470067 × 123456791
7223 × 73 × 283 × 827 × 26459 × 185753 × 504209
737 × 83 × 89 × 51512413 × 112505963 × 21367348417
742 × 3 × 440158740667
7552 × 13 × 61 × 1063 × 14407 × 81222904603
7622 × 11 × 4339 × 171617 × 41401043 × 75144551 × 788912279 × 5782205500861
773 × 1687757 × 8695214471971
782 × 307 × 419 × 465308843
7923 × 1979 × 3571 × 5361907
8024 × 32 × 5 × 7 × 2341 × 74869 × 10023842104189
8141 × 1873 × 2729
822
833 × 1543 × 7331 × 623754753341
8422 × 17 × 588277
855 × 47 × 193 × 4127 × 136811 × 206879 × 3719936593 × 7223778311279
862 × 3 × 19 × 3542232191 × 126670089607
877 × 11 × 1399 × 11287 × 32413
8823 × 13 × 31 × 293
8932
902 × 5 × 179
91159731905867
9222 × 3 × 29 × 16561
93227 × 9297184121
942 × 72 × 103 × 443 × 6857 × 2534836231
953 × 5 × 107 × 105503
9625 × 491 × 98232319
9771 × 937 × 54525473
982 × 33 × 11 × 5209
99261127 × 233107711
10022 × 52 × 101 × 4404341 × 16844385116981 × 3445187349024049
1013 × 7 × 13 × 17 × 37 × 139361 × 1417543
1022 × 23
103129293 × 2447329 × 1051445357 × 1935016704059
10423 × 3 × 2111 × 3137 × 8861 × 997319
1055 × 19 × 43 × 439
1062 × 79 × 467 × 3917 × 944937535601 × 5215224882107 × 6555851138723
10732 × 1277 × 7937 × 81409 × 203692794763
10822 × 7 × 5563
10911 × 2039 × 156487
1102 × 3 × 5
111Sin factores primos conocidos
11224 × 967 × 3048395557
1133 × 53
1142 × 13 × 5056169 × 2137027352531
1155 × 7 × 4643 × 280607 × 3076973
11622 × 32 × 281 × 6108161 × 2408257438313
11721061 × 94725607
1182 × 17
1193 × 31 × 151 × 475693 × 1371281437
12023 × 5 × 11 × 2797
12129
1222 × 3 × 7 × 41 × 163
12317648856343 × 286729771709
12422 × 19 × 67
12533 × 53 × 23
1262 × 263
12713
12827 × 3 × 33587
1297 × 59 × 2837 × 892663 × 17551311769933
1302 × 5 × 31183 × 4044617 × 59183933
1313 × 112 × 178831 × 1055611 × 59537911 × 27589417422571
13222 × 47 × 16519 × 57309809
133Sin factores primos conocidos
1342 × 32
1355 × 17 × 499 × 5838451
13623 × 7 × 61 × 137 × 2971 × 23212919 × 7780377456391
1373 × 10853 × 429281 × 5979811 × 7955581
1382 × 372 × 109
139191 × 65477681
14022 × 3 × 5 × 13
141277 × 859 × 59611 × 66496385719
1422 × 11 × 181 × 311 × 281804459 × 5172249587
14332 × 73 × 19 × 149
14424 × 503344253
1455 × 73
1462 × 3 × 265157 × 366697 × 359659681 × 2281967767
14735221
14822 × 232 × 43 × 647 × 37695430753
1493
1502 × 52 × 7 × 29 × 31 × 223 × 21949667911
151547
15223 × 35 × 17
15311 × 132 × 373
1542
1553 × 5 × 208997 × 218453
15622 × 83 × 20173 × 188147
1577 × 1109 × 200029 × 338461 × 594512101 × 2296968306751
1582 × 3 × 7307
15997 × 233 × 7211 × 17713 × 1235592119
16025 × 5 × 127 × 4135914698459
16132 × 9719 × 18203660161 × 60734753213
1622 × 19 × 89 × 139 × 490163776603
16341 × 95429
16422 × 3 × 7 × 11 × 35801 × 42221
1655
1662 × 13 × 53 × 1663
1673 × 417987659
16823 × 71
16917 × 25189 × 135101 × 1452179575921
1702 × 32 × 5 × 2687337427661 × 276824809882639
1717 × 23 × 1303
17222 × 3833 × 4969
1733 × 41057
1742 × 2273 × 24813203
17552 × 11 × 37
17624 × 3
177113 × 34033 × 12955351685099
1782 × 7 × 2027 × 86369 × 317089688283779
17933 × 13 × 292 × 47
18022 × 5 × 176453988463 × 477563539883
18119 × 31 × 366599
1822 × 3 × 131 × 823 × 744941 × 28926217 × 123742111567 × 1093516321903
183Sin factores primos conocidos
18423 × 787 × 92290266917
1853 × 5 × 7 × 79 × 4231 × 11005556096351
1862 × 11 × 17 × 42457886675753
187Sin factores primos conocidos
18822 × 32 × 59 × 4139
189199 × 2459 × 36182643352417
1902 × 5 × 487 × 18289 × 130730501085937
1913 × 43 × 67 × 179167 × 2457910193 × 25641170249
19226 × 72 × 13 × 541 × 33427 × 33923585347 × 1662154135459
193Sin factores primos conocidos
1942 × 3 × 23 × 173 × 313 × 124132523881
1955
19622 × 323933369
19732 × 11 × 61 × 103 × 2999 × 7893211
1982 × 578699729
1997
20023 × 3 × 52 × 19 × 33659477119819
201101 × 73583
2022 × 107 × 919
2033 × 17 × 31817
20422 × 41
2055 × 13 × 367 × 23376747103 × 3259894642721
2062 × 33 × 7 × 73673407
20721613693 × 108055039 × 683216670953 × 116094417297437
20824 × 11 × 29 × 3187
2093 × 229 × 1709863
2102 × 5 × 5055671029
211383 × 9743 × 650861 × 188722819
21222 × 3 × 31 × 37 × 631 × 659 × 9466657
2137 × 2153 × 49899503109791
2142 × 11279
21532 × 5 × 359 × 881 × 17807
21623 × 37585927 × 1877754341 × 161578973903551
21723
2182 × 3 × 13 × 73
21911 × 19 × 53 × 12957953
22022 × 5 × 7 × 17 × 6361 × 1166441 × 31574047 × 4444874215511
2213 × 2129 × 10399 × 9596179063
2222 × 997
223289482797 × 107268443759
22425 × 32 × 569 × 977 × 33997 × 93802862411
22552 × 157 × 409 × 3361
2262 × 472 × 211 × 22067 × 479946220367
2273 × 7
22822
2292383613
2302 × 3 × 5 × 11
23113 × 5887109 × 3359123749
23223 × 848636282539 × 3843167536469
23334 × 337 × 1453 × 30045181 × 73576823
2342 × 7 × 43 × 49004448511
2355
23622 × 3 × 167 × 197 × 2481404260831
23717 × 29 × 2357 × 111190446559
2382 × 19 × 65782322981
2393 × 71 × 83 × 1291 × 9040321891
24024 × 5 × 23 × 164701
24172 × 11 × 1237 × 105175443311951
2422 × 32
24331
24422 × 13 × 7115051 × 45413105877857 × 64240888145711
2453 × 5 × 41 × 3472769 × 3362128170607
2462 × 2767 × 16731542873
24759 × 109 × 383179 × 60667111054567
24823 × 3 × 7 × 14221 × 149077873379 × 30107001708557
24937 × 10655027 × 51112298155771
2502 × 53 × 251 × 4241 × 1405024630241
25132 × 89 × 331 × 170010990945371
25222 × 112
25329243 × 8749302740159
2542 × 3 × 172 × 317 × 5503 × 104311 × 5893565617
2555 × 7 × 775197721 × 230474811239 × 361012017319
25628 × 97 × 257 × 577 × 27329
2573 × 13 × 19 × 241 × 17747 × 2119643
2582 × 61 × 67 × 2415188624899
259643 × 4958351
26022 × 33 × 5 × 1657 × 2249363
2611377532555921
2622 × 7 × 1307
2633 × 11 × 23 × 13720433 × 3039006273643
26423 × 79 × 10987 × 68336782762841
2655 × 379 × 333019
2662 × 3 × 29 × 7324931
2673184015039
26822 × 773 × 12589 × 90124147 × 553608487 × 857901047 × 10144905671 × 3290005626301
26932 × 7 × 179 × 431
2702 × 5 × 13 × 151 × 271 × 48158923
27117 × 266549 × 3635791 × 714324545911
27224 × 3 × 53
27347 × 137 × 386851
2742 × 11 × 31
2753 × 52 × 10429 × 57487 × 4063097
27622 × 7 × 19 × 52255087
27743 × 239 × 2074103
2782 × 32 × 193 × 2699 × 6800279 × 177277283 × 13356140198881
2795879
28023 × 5 × 757 × 4517 × 6299 × 287059 × 994916917
2813 × 1103
2822 × 1489 × 167159
2837 × 13 × 1229 × 16937 × 37999727 × 1196011429 × 133662471611 × 9026390906471(AC)
28422 × 3 × 7351
2855 × 11 × 163 × 1151
2862 × 23 × 37 × 41 × 619 × 3169 × 10008419 × 754193586079
28733 × 127 × 2087 × 1442921
28825 × 17 × 2430683
2895667317
2902 × 3 × 5 × 72 × 113 × 3371 × 61735159 × 70768336981
29173 × 2648081 × 8743997 × 932155542869
29222 × 149
2933 × 125641 × 1452809 × 5502255299869
2942 × 1742529731
2955 × 19 × 29 × 11483
29623 × 32 × 11 × 13 × 1483
2977 × 86859490477
2982 × 166457
2993 × 14135318231501
30022 × 52 × 103
301139 × 571 × 356711801 × 783871703
3022 × 3 × 101 × 13093
30360557941
30424 × 7 × 9263131
30532 × 5 × 17 × 31 × 1597 × 7369 × 2129308741177
3062 × 59 × 34734677 × 13675221054251
30711 × 1581279524093
30822 × 3 × 2953697 × 874500131 × 62561707349
30913 × 23 × 107 × 3251 × 5612784269167
3102 × 5 × 71 × 928651 × 8706313614079
3113 × 7 × 17117 × 21817 × 21968263 × 20145807793259
31223 × 154841
313131
3142 × 34 × 192 × 761616433
3155 × 52927319
31622 × 609273253 × 270650590751771
3173 × 20483
3182 × 7 × 11 × 347 × 21788461 × 1923512850583
31961 × 587
32026 × 3 × 5 × 43 × 47 × 227 × 269 × 26161
32117627 × 17589509429
3222 × 132 × 17 × 83
32332 × 37 × 181 × 189401 × 30030031 × 278217651443
32422 × 29 × 2693 × 65837 × 52400809 × 170124277 × 238928201 × 5215473889
32552 × 7 × 53 × 67 × 80209
3262 × 3 × 12377 × 231643 × 4041217
32741
32823 × 56266057633 × 65186057899
3293 × 11 × 239849
3302 × 5 × 191
331Sin factores primos conocidos
33222 × 32 × 7 × 23
33319 × 6833 × 3170281 × 261514541
3342 × 18457 × 76607
3353 × 5 × 13 × 2069 × 2861 × 30119743 × 208309147 × 378917003
33624 × 31 × 6794735261 × 33437724770287
3371097 × 66083
3382 × 3
33972 × 17 × 2437 × 288947 × 23834033011
34022 × 5 × 11 × 89 × 463 × 315409
34133
3422 × 8134957 × 1690431443
34379 × 69371 × 647609
34423 × 3 × 25275287 × 14813442667
3455
3462 × 7 × 207469 × 817111
3473 × 469801
34822 × 13
3497817
3502 × 32 × 52 × 39619 × 5770072319861
35111 × 36341 × 1594097 × 169065012247
35225 × 19 × 353 × 433
3533 × 7 × 29 × 97 × 10169 × 11443 × 19257330628477
3542 × 7219 × 63998875820773
3555 × 23 × 283 × 46769687 × 411116391527
35622 × 3 × 17 × 109 × 1559 × 14401 × 5698597193
35735032386373
3582 × 479 × 11867
35932 × 90121
36023 × 5 × 7 × 37 × 476609617489
36113 × 769 × 929 × 254375870570893
3622 × 3 × 11 × 6656128147 × 81169096488559
36343 × 1009 × 138219111815143
36422 × 73
3653 × 5 × 59 × 1153
3662 × 2207 × 14607967729
3677 × 31 × 47 × 173 × 213203 × 1779761
36824 × 33 × 41 × 26892389008867
36961651 × 933497
3702 × 5 × 246193 × 395197101059
3713 × 19 × 12721 × 24659
37222 × 27689 × 29453
373112 × 17 × 223 × 177969691 × 44425160308939
3742 × 3 × 7 × 13 × 26201887147 × 230263510870639
37553 × 1669 × 8597 × 3079557773
37623 × 104137337 × 615376337777
37732 × 2591 × 4516151
3782 × 23 × 53 × 78329305513861
3791937001722989
38022 × 3 × 5 × 61 × 691 × 2014198337
3817 × 71 × 293
3822 × 29 × 157 × 853 × 991 × 4129 × 17584838575939
3833 × 3212018081
38427 × 11
3855 × 307 × 299496984001 × 917364503449 × 81462278747809
3862 × 32 × 14110841
38713 × 397 × 402873173 × 12145961203 × 198325370917
38822 × 72 × 199 × 421 × 8741 × 60727333
3893 × 263 × 5443 × 13537 × 1736437
3902 × 5 × 17 × 19 × 1051 × 152993 × 1241389
3911571 × 5374153 × 9912029
39223 × 3 × 67 × 233 × 2179 × 11003 × 24337
39327431 × 87517
3942 × 63803
39535 × 5 × 7 × 11 × 6449 × 36013
39622 × 8196705516913 × 122666656770617
39737 × 281 × 6117661118077
3982 × 3 × 31 × 376633 × 4152470449759
3992963 × 447319 × 1381693 × 327971038061
40024 × 52 × 13 × 401 × 293259098413 × 18313878550213
4013 × 23
4022 × 7
403101 × 103 × 113 × 167 × 857 × 3499 × 9007 × 5891617 × 162859493
40422 × 32 × 829 × 5827321 × 597440905157 × 332240627510699
4055 × 83 × 327229545291109
4062 × 11 × 43 × 4550730809 × 17970879937
4073 × 17 × 719 × 105331 × 169399 × 4343401 × 97053069671
40823
4097 × 19 × 41 × 349 × 389 × 821 × 6367 × 18911
4102 × 3 × 5 × 137 × 216103 × 33172873
41129 × 2267 × 105367 × 313849
41222 × 6143 × 192492323
41332 × 13 × 3533813
4142 × 47 × 127 × 7781115402421
4155 × 3373 × 7607 × 56843 × 213361 × 81393551
41625 × 3 × 7 × 107 × 30044052173
41711 × 40357 × 2893142200643
4182 × 277 × 46955620601
4193 × 14639 × 1241159 × 184653757 × 28081367591
42022 × 5 × 84053 × 36607799
421151 × 613 × 12239 × 72031 × 120874684837
4222 × 33 × 79 × 6827 × 8641 × 14387573
4237 × 102079 × 1752211
42423 × 17 × 23 × 59 × 1373 × 1164597456961
4253 × 52 × 66082433
4262 × 13
42714969 × 266072813
42822 × 3 × 11 × 19 × 461 × 28151
42931 × 89
4302 × 5 × 7 × 11475253
43132 × 53
43224
433197 × 1629936368219
4342 × 3 × 37 × 117298627 × 316985623667 × 408214728169 × 57076037657803
4355 × 1367
43622 × 357733 × 107403692936311
4373 × 72 × 73 × 211 × 360257
4382 × 229 × 2339 × 2641663
43911 × 13 × 9739 × 4205599 × 21684679
44023 × 32 × 5 × 29 × 139 × 99169117
44117 × 61 × 149 × 97483541 × 48617569201681
4422 × 2237 × 147734549
4433 × 628419349
44422 × 7 × 131 × 797 × 2113
4455 × 4363
4462 × 3 × 15492929107231
44719 × 23 × 7853 × 444884533
44826 × 163 × 179 × 449
44933 × 43
4502 × 52 × 11 × 41 × 97 × 1361 × 724676858849
4517 × 5273 × 10949 × 3671089 × 53123832081373
45222 × 3 × 13 × 71 × 1013 × 6337 × 5945279 × 46861363 × 1046024311 × 3850289684071
453311
4542
4553 × 5 × 4441 × 11731297 × 7416705589
45623 × 8470351 × 19881751 × 5068402799
4571607 × 2502953 × 124648091
4582 × 32 × 7 × 17
45967 × 1637 × 47659 × 8858347 × 79888441 × 4797780037 × 29898090162217
46022 × 5 × 31
4613 × 11 × 47 × 100649 × 2047237 × 12784879481981
4622 × 677 × 82963
46311527
46424 × 3
4655 × 7 × 13 × 109 × 308704189
4662 × 19 × 420163 × 148206038033
46732
46822 × 7489
46929 × 11803031 × 25863191
4702 × 3 × 5 × 23 × 953 × 81077 × 46901483 × 1474104893
47137 × 193 × 2131
47223 × 7 × 11 × 1493 × 9293 × 196991 × 222127 × 282962683
4733 × 87750167227559
4742 × 1723 × 41571515070377
47552 × 17 × 366957853
47622 × 34 × 1283 × 1567 × 2791 × 9851 × 13693 × 103069 × 48728926187
4771753 × 7109
4782 × 13 × 18492041 × 13799952601 × 2119850911669
4793 × 7 × 2137 × 43889 × 390076301
48025 × 5 × 2579 × 101917
4812143
4822 × 3 × 151091 × 245527 × 4769111
48311 × 59 × 184571 × 1709463859 × 290993551111
48422 × 53 × 509 × 1049
48532 × 5 × 19 × 110906911 × 2720484667 × 83822291083 × 459771080603
4862 × 73 × 1787
48712161
48823 × 3 × 83 × 221659 × 222027037 × 8994607913
489563 × 1878511541867
4902 × 5 × 80489 × 3093317
4913 × 132 × 31 × 41 × 27544273
49222 × 17 × 433 × 521 × 523
4937 × 23 × 253501
4942 × 32 × 112 × 29033 × 106627 × 829811
4955 × 1553
49624 × 4210879 × 521568881
4973 × 419 × 5428853 × 3369430891621
4982 × 29 × 241 × 13669 × 3944249
499Sin factores primos conocidos
50022 × 3 × 53 × 7 × 3947 × 24229 × 214214927621 × 2358204886663
50179 × 251 × 439235549
5022 × 61 × 304303 × 1276118189
50333 × 15767179 × 175836416563 × 340179262693069
50423 × 13 × 19 × 101 × 181
5055 × 11
5062 × 3 × 103
5077 × 313 × 1292887
50822 × 37 × 47 × 19463 × 85037 × 3810211 × 152051898289
5093 × 17 × 7793 × 39538007
5102 × 5 × 73 × 406361 × 6809837 × 3183087660497
511Sin factores primos conocidos
51229 × 32
513257 × 503 × 2543 × 6329 × 59723879
5142 × 7 × 2369993 × 1624933867633
5153 × 5
51622 × 11 × 23 × 113 × 239
51713 × 1061
5182 × 3 × 89
519Sin factores primos conocidos
52023 × 5 × 1697
52132 × 7 × 191 × 457 × 2141 × 210371417089 × 9692403576481
5222 × 31 × 770057 × 31348481237
52319 × 71 × 107
52422 × 3 × 1487 × 28352518087 × 764070470321
52552
5262 × 17 × 67 × 373 × 302767
5273 × 11 × 29 × 16619 × 100685369767 × 12808403436761
52824 × 7 × 761 × 7907 × 51419 × 17438731
52912889 × 57462755137 × 18539217282281
5302 × 33 × 5 × 13 × 42061 × 2063918071
531283369 × 92236423
53222 × 41 × 5831971 × 2047565898317
5333 × 560701 × 44847031
5342 × 91119113 × 3278732986253 × 30015065970251
5355 × 72 × 43 × 941 × 781402615561
53623 × 3 × 653 × 149033379840733
53753 × 443 × 32341
5382 × 11 × 13627 × 15497 × 2892931 × 15898109 × 5795997061 × 92121274139
53932 × 23 × 157 × 2864843 × 210312187709963
54022 × 5 × 173
541127 × 271 × 557 × 111083678507
5422 × 3 × 7 × 19 × 59
54313 × 172 × 4657 × 45282227986997
54425 × 439 × 7121 × 202327 × 15674759
5453 × 5 × 37 × 1193 × 327203 × 64081361 × 569948192963
5462 × 11987985619
54797 × 137 × 227
54822 × 32
5497 × 11 × 2003 × 12417173 × 830210449
5502 × 52 × 8761
5513 × 983 × 83394617
55223 × 279957247 × 238235779384601
55331 × 1513069 × 2746590823
5542 × 3 × 21940299861611
5555 × 47 × 16278323 × 71304033733
55622 × 7 × 13 × 29 × 49261 × 25471519 × 156319964372977 × 407058020299703 (PC)
55734 × 57977 × 3427678333
5582 × 32069 × 65133625393307
559106363
56024 × 3 × 5 × 11 × 17 × 16759 × 19519481 × 1004955499 × 3096124755337
56119 × 341777
5622 × 23 × 2731 × 12791 × 17749 × 58217 × 1816253 × 1439698097 × 338966246621
5633 × 7 × 61 × 2978683 × 537056096419
56422 × 683 × 1019 × 6661 × 45989 × 187668101
5655
5662 × 32 × 23819 × 1922900543
567579947 × 1954075481
56823 × 170627 × 418934449631
5693 × 13
5702 × 5 × 7 × 167 × 337 × 355031 × 1330228457
57111 × 83 × 317 × 2714867 × 40163303
57222 × 3 × 151 × 367 × 15533753
57341 × 467 × 24781339621
5742 × 109 × 359 × 1289
57532 × 52 × 131 × 33037 × 12127571
57626 × 1321 × 66984601 × 162735832537
5777 × 17 × 593 × 601 × 43517179 × 110190806711933
5782 × 3 × 43 × 18507473 × 1669019579
579139 × 709 × 12254030052617 × 130454381521613
58022 × 5 × 19 × 79
5813 × 1033 × 188317 × 308723 × 719085137 × 4379319864407
5822 × 11 × 13 × 37 × 331 × 1741
58373 × 1381 × 27685718119 × 820504256711
58423 × 33 × 72 × 31 × 2351
5855 × 23 × 29 × 1879 × 18379981 × 55443847 × 2576865339157
5862 × 617 × 3821
5873 × 199 × 491
58822 × 442027
589269 × 1217 × 3089 × 6263
5902 × 3 × 5 × 53 × 149 × 1459 × 75833 × 25499233 × 991509361147 × 2006197534249
5917 × 3631 × 4071386684891
59224 × 26839 × 736243 × 1997713
59332 × 11 × 67 × 25778771 × 175529209
5942 × 17 × 71 × 383 × 1187
5955 × 13 × 907 × 25717
59622 × 3 × 223 × 1031
5973316981
5982 × 7 × 315281 × 12319750736963
5993 × 19
60023 × 52 × 538739
60159 × 3163669261 × 8971787482811
6022 × 32 × 47 × 2887 × 19553
60314461
60422 × 11
6053 × 5 × 7 × 101 × 3307 × 13043 × 27541 × 46703 × 4778933279921
6062 × 57149
60789 × 7577 × 228829 × 565507 × 7688011 × 309695329
60825 × 3 × 13 × 23 × 482539
609103 × 3652477 × 28414487
6102 × 5 × 599 × 1039
61133 × 17 × 163 × 1223
61222 × 7 × 48397 × 2225689 × 537059099
613971 × 4352827 × 97397011 × 742839211753
6142 × 3 × 29 × 41 × 89627
6155 × 112 × 313 × 43356713
61623
6173 × 607
6182 × 19 × 887 × 1993
6197 × 37 × 7550083
62022 × 32 × 5 × 27410514853
62113 × 43 × 14369 × 56259445337
6222 × 3671 × 156673831
6233 × 710736899401 × 748092173291
62424 × 61 × 2037820747 × 296456603753
62554 × 233
6262 × 3 × 7 × 11
627179 × 811
62822 × 17 × 7666157
62932 × 113 × 242973737 × 98655432349
6302 × 5 × 107 × 197 × 797917
63123 × 5370305512643
63223 × 3 × 123373
63372 × 6513306199
6342 × 13 × 409 × 499 × 39323 × 5019257
6353 × 5 × 30869 × 925271
63622 × 2981483 × 142218877733
63711 × 19 × 8017 × 34061
6382 × 36 × 283
6397952500537
64027 × 5 × 7 × 641 × 161059 × 18290893 × 1429028611 × 56191715887 × 340417833727
6413 × 55903 × 44326561
6422 × 839 × 34326839
64329 × 53 × 60915765493139
64422 × 3 × 97 × 379 × 104047 × 52189961 × 2294750993
6455 × 17 × 1601957239
6462 × 31 × 26759 × 31019
64732 × 7 × 13
64823 × 11 × 211 × 14537
64947 × 63311 × 1100783
6502 × 3 × 52 × 483503 × 517497343697
651605447393
65222 × 263 × 4787 × 866231 × 230775435778687
6533
6542 × 7 × 23 × 83
6555 × 41 × 44809 × 119173371771829
65624 × 32 × 19 × 37 × 73 × 95570659
65765872291 × 22963248643 × 4937924087741 × 8388706159853
6582 × 15769687
6593 × 11 × 79 × 19466950627
66022 × 5 × 132 × 59 × 67 × 2281 × 123583
6617 × 4027 × 24133 × 4879607
6622 × 3 × 17 × 198629689
66346411
66423 × 43 × 193 × 727 × 167519383
66533 × 5 × 71 × 347 × 1583
6662 × 4366919 × 473674471693
667229 × 48413 × 520309 × 1448294587 × 28077845221997
66822 × 3 × 7 × 127
669Sin factores primos conocidos
6702 × 5 × 11 × 39679 × 2907890399
6713 × 3491 × 4451 × 4483
67225 × 29 × 160892124343
67313 × 21503
6742 × 32 × 293
67552 × 7 × 192 × 3185821
67622 × 586089557
6773 × 232 × 31 × 487 × 3359 × 215181271
6782 × 281
67917
68023 × 3 × 5
68111 × 2287 × 458789 × 532558591
6822 × 72 × 6679 × 5223037 × 19472977 × 405475951 × 3182352707
68332 × 109 × 85121 × 11341075203553
68422 × 137 × 15331 × 395581
6855 × 61 × 181
6862 × 3 × 13 × 1481 × 6163
68732443 × 37022231
68824
6893 × 7 × 7001 × 50700479
6902 × 5
691863 × 6083479 × 101369887 × 254098379
69222 × 33 × 11 × 307 × 1093 × 94951 × 21283080257 × 37864122607
69337
6942 × 19 × 2309 × 1206529 × 45988653121 × 13680644890877
6953 × 5 × 277 × 18471922068233
69623 × 7 × 17 × 41 × 47 × 53 × 89 × 157 × 673 × 431581459 × 37606660967
6971871 × 2499266947
6982 × 3 × 547 × 300497447
69913
70022 × 52 × 23 × 431 × 743 × 523330963
70132 × 29 × 18257 × 129049
7022 × 31699 × 591599 × 687809 × 183647302040843
7037 × 11 × 1137247
70426 × 3 × 1921481
7055 × 353 × 6545963
7062 × 101 × 131 × 5806338580249 × 218860244515691
7073 × 43 × 556043 × 720211
70822 × 31 × 13185172283
70918887329 × 3819963467
7102 × 32 × 5 × 7 × 661 × 137117
71123609 × 238005629
71223 × 13 × 103 × 191
7133 × 17 × 19 × 173 × 678959 × 3227723 × 129877332833 × 6907530635909
7142 × 11 × 2091671
7155 × 6221 × 10357
71622 × 3
7177 × 8053
7182 × 139 × 3041 × 2336843 × 424751861
71934 × 59 × 33599 × 839959
72024 × 5 × 141529
7215737 × 4315589
7222 × 3
72323 × 151 × 3457 × 6922871057
72422 × 7 × 70489 × 229408845727
7253 × 52 × 11 × 13 × 192373
7262 × 8819 × 2464064599 × 379334219431
72767 × 1088188303
72823 × 32
72973 × 178037 × 384911908266701 (MP)
7302 × 5 × 17 × 29 × 37
7313 × 72 × 4561 × 38582597093
73222 × 19 × 12403547309 × 7956237923539
733541 × 6332603 × 86589337
7342 × 3 × 57349
7355
73625 × 112 × 71 × 2683 × 30029
73732 × 41 × 83 × 107 × 167 × 123842479 × 212775931
7382 × 7 × 13 × 79 × 2240002137181
73931 × 149 × 241 × 158519 × 70180894970309
74022 × 3 × 5 × 2467 × 4797283 × 58263017 × 16588659301
74197 × 261271 × 2314836283
7422 × 113 × 3719 × 734717 × 22657127 × 13971056154983 × 28391506983407
7433 × 47 × 383069
74423 × 2311 × 3037 × 14821 × 611512963
7455 × 7 × 19403
7462 × 33 × 23 × 61 × 3605473 × 3075307770767
74711 × 17
74822 × 900042823 × 32217990709 × 252179248806787
7493 × 53 × 739 × 1621 × 320417
7502 × 53 × 43 × 751 × 7717
75113 × 19 × 142169 × 589529 × 4749223
75224 × 3 × 7 × 251 × 4283 × 25219 × 25931
75325524962591 × 32398662691 × 73069065889
7542
75532 × 5 × 239 × 350604539 × 780242747
75622 × 2689 × 12849447617
757609490439 × 6183291059119
7582 × 3 × 11 × 349
7597 × 29 × 493121
76023 × 5 × 53591 × 13893977 × 571720392851
7613 × 877 × 5231 × 138349 × 227629
7622 × 92623 × 38196043 × 140278447 × 2309586087337
7632098813
76422 × 32 × 13 × 17 × 311 × 10207682239
7655
7662 × 7 × 701 × 138143 × 3049293761 × 4492094759 × 20086248452069
7673 × 37 × 251323 × 12704882467 × 204004950503
76828 × 135880907101
76911 × 23 × 1188293
7702 × 3 × 5 × 19 × 31 × 257 × 3527 × 28279
7711762391 × 693294319
77222
77333 × 7 × 8161 × 53407
7742 × 163 × 227
77552 × 62758949801
77623 × 3 × 358408487 × 112329153825323
77713 × 14419302413
7782 × 41 × 59
7793
78022 × 5 × 72 × 11 × 469351 × 45649297
78117 × 1357333 × 107829804490003
7822 × 32 × 19045577
78320682953 × 7225663667
78424 × 397 × 581573
7853 × 5 × 89 × 433 × 2782187 × 63265061 × 78923113465507
7862 × 199 × 18757 × 65712915589 × 1224860642183
7877 × 21227
78822 × 3 × 29
78919 × 22861 × 171799
7902 × 5 × 13 × 47 × 12281
79132 × 11 × 911 × 65951 × 173933
79223 × 23 × 109 × 4491833
79343 × 569
7942 × 3 × 7 × 67 × 1297 × 4836037 × 762060041 × 2355338561
7955 × 127 × 647 × 2029 × 5179 × 7991167
79622 × 2749 × 28099 × 106441 × 3773249
7973 × 733 × 518149939 × 1106974829 × 3451983107393
7982 × 17 × 389 × 5021 × 3593581
799Sin factores primos conocidos
80025 × 34 × 52 × 2753 × 1020841 × 11707081 × 440937571 × 39997221117017
8017 × 31 × 401 × 70621 × 240628379
8022 × 11 × 53 × 73 × 8171 × 5048003 × 19420992751
8033 × 13 × 463
80422 × 37 × 1163 × 2221 × 330821 × 19457899575227
8055 × 142837 × 19575232021 × 68276939979959
8062 × 3 × 179 × 1416056549 × 14486899678891
807612 × 71 × 101
80823 × 7 × 19
80932 × 421 × 4722261851
8102 × 5 × 297280266889 × 709344839023
8119227565769 × 656874618083
81222 × 3 × 271 × 14813 × 751087 × 36782188649
81311 × 2239 × 240017 × 256133231 × 267500957 × 454720762189
8142 × 7523
8153 × 5 × 7 × 17 × 23 × 103 × 1693 × 39003567353237
81624 × 13 × 1549 × 86125458654439
81729 × 79 × 2577936073
8182 × 32 × 1675799 × 64817677
81941 × 223 × 809 × 24953 × 25676999971283
82022 × 5 × 83 × 313 × 1192648537
8213 × 137 × 303844891043
8222 × 7 × 3943 × 1079917 × 4803830443 × 331790051023
8231301 × 3794587787
82423 × 3 × 11
82552 × 1341204607
8262 × 3664117 × 18896113 × 331405783
82733 × 19 × 197 × 4442311
82822
82973 × 132 × 1099567697 × 2346943283 × 11024962499 × 5332706211743
8302 × 3 × 5 × 2063
831Sin factores primos conocidos
83226 × 172 × 31 × 6079 × 5090149
8333 × 577 × 7507
8342 × 384889
8355 × 11 × 192877 × 375944053123
83622 × 32 × 7 × 43 × 5432857
83747 × 59 × 131 × 479 × 86693 × 17448059 × 362613743
8382 × 23 × 97 × 52067197001993
8393 × 25741
84023 × 5 × 18869
84137 × 33641 × 144173 × 833737
8422 × 3 × 13 × 230506643
8437 × 631 × 8699 × 8951 × 72637219 × 6386214513491
84422 × 107 × 3347 × 9467 × 139901294083
84532 × 5 × 2903
8462 × 11 × 19 × 29 × 59260984997
8471759
84824 × 3
84917 × 2203 × 5009 × 137359 × 47728903
8502 × 52 × 7 × 3067231 × 5332790201
8513 × 66093277
85222 × 12366090937397 × 257082918999383
853157
8542 × 33 × 6690989 × 13301989 × 221124901 × 217852657513
8555 × 13 × 53 × 113 × 33299941 × 3854940909493
85623 × 2658055969
8573 × 7 × 112 × 139 × 193
8582 × 233 × 269 × 72493 × 207563
859211
86022 × 3 × 5 × 41 × 8663
86123 × 67 × 7583468947
8622 × 17179146360059
86332 × 31 × 1123 × 1723177 × 25266832793 × 1603252060387
86425 × 7 × 1022383
8655 × 19
8662 × 3 × 17 × 181 × 7919
8677082941
86822 × 11 × 13 × 61 × 1624359676007
8693 × 1949
8702 × 5 × 3923 × 26294500661509
8717 × 659 × 22093 × 1322430203 × 6907948679
87223 × 32 × 571
8733851 × 384509
8742 × 89 × 151 × 40423 × 1709520559 × 2895727672007 × 11721741260909
8753 × 53 × 29 × 73
87622 × 656749 × 376432051
877Sin factores primos conocidos
8782 × 3 × 72 × 37 × 71
87911 × 43 × 74107051 × 202358131 × 2977548424679
88024 × 5
88135 × 13 × 1699 × 526063 × 149532906001 × 9475446435757
8822 × 5651 × 29591123
88317 × 11832467 × 27608363 × 22601232763
88422 × 3 × 19 × 23 × 47 × 120287771
8855 × 7 × 1423
8862 × 173 × 1747 × 301649
8873 × 184623836197
88823 × 149 × 317 × 29017
889461
8902 × 32 × 5 × 11
89113963 × 1376131
89222 × 7
8933
8942 × 13 × 31 × 15958986203
8955
89627 × 3 × 59 × 79 × 229 × 206839790323
897449 × 327151303 × 31646118087293
8982 × 4814707 × 4707339037
89932 × 7 × 373 × 827 × 19213 × 79408687 × 2683579791287
90022 × 52 × 17 × 1249 × 2213 × 22157 × 759113
90111 × 41 × 109 × 23459
9022 × 3 × 643 × 13061534686861
90319 × 83 × 191 × 32569
90423 × 29 × 167 × 1901 × 50581 × 1228541 × 63788501929 × 1073958196501
9053 × 5 × 619 × 112223 × 1794762941 × 2028441301
9062 × 7 × 587 × 103619
90713 × 23 × 337 × 13567 × 117168796021
90822 × 33 × 53 × 101 × 45631343 × 979151507
90917783 × 106661 × 13818285289
9102 × 5 × 2017 × 160691977
9113 × 239977 × 59163323
91224 × 11 × 5821 × 4446509 × 26649481
9137 × 331 × 3963529 × 2347360633
9142 × 3
9155 × 37 × 263 × 2347 × 1716047 × 3743543 × 1564708547
91622 × 419 × 2563285051 × 25087770150857
91732 × 17
9182 × 103
9191531 × 574597 × 9248111
92023 × 3 × 5 × 7 × 13 × 9451381 × 1698275417 × 8269562617
921283 × 845567 × 9121009
9222 × 19 × 43 × 127 × 43555219 × 247811592967
9233 × 11 × 16931 × 9444665309
92422 × 137403239 × 4762047413
92552 × 31 × 883 × 44089434007
9262 × 32 × 15061
92772 × 42649969 × 623464199
92825 × 67 × 3613 × 24635161
9293 × 61 × 2647 × 10729
9302 × 5 × 23 × 38377 × 50172955633
93147
93222 × 3
93313 × 29 × 359 × 3389 × 4217
9342 × 7 × 11 × 17 × 18859297
93533 × 5 × 97 × 748004303
93623 × 6294797
937163 × 1252446269
9382 × 3
939367 × 2927 × 47101532422627
94022 × 5 × 103576640216783
9413 × 7 × 19 × 37313389
9422 × 41 × 1781233
9437297
94424 × 32 × 3859783
9455 × 11 × 1439 × 85632549781
9462 × 13 × 12433 × 90799321
9473 × 918583
94822 × 7 × 73
94971 × 5039
9502 × 3 × 52
95117 × 107 × 101537
95223 × 37 × 641981 × 80159249 × 1777718351
95332 × 23
9542 × 63727 × 79031 × 592414721
9555 × 7 × 59
95622 × 3 × 11 × 31
95797187
9582 × 137 × 1170131
9593 × 13 × 281 × 8461 × 2683099 × 9971305153
96026 × 5 × 19 × 5417 × 32669787558439
96153 × 22817 × 12050369
9622 × 34 × 7 × 29 × 725393 × 403254583
96389
96422
9653 × 5 × 43
9662
96711 × 293
96823 × 3 × 17 × 113 × 131 × 1867 × 4682233
9697 × 1609 × 6660880867
9702 × 5 × 2333791 × 427220198179829 (AC)
97132 × 787
97222 × 13 × 277 × 793099
9734903
9742 × 3 × 4967 × 8719 × 132611
97552 × 79 × 20261
97624 × 72 × 23 × 4507 × 17939179
9773 × 383
9782 × 112 × 47 × 457 × 1087 × 49526529203 × 963541443407
97919 × 15031 × 64019 × 23272103377
98022 × 32 × 5 × 241 × 443 × 4703 × 64301 × 1845026761 × 15555091604747
9812887237 × 8806548533
9822 × 706507 × 194814102120683
9833 × 7 × 41 × 439 × 1861 × 6508582891
98423 × 6011 × 2100997 × 16609127 × 44817902939
9855 × 13 × 17 × 179 × 199 × 5471 × 6101 × 679639 × 6199697125261
9862 × 3 × 83 × 27073 × 2600300988553
98731 × 10427 × 159686110741
98822 × 3109
98933 × 11 × 37 × 1091 × 24623 × 2530579 × 2412394513 × 6516978779
9902 × 5 × 7 × 61 × 65147 × 5670266246017
99129
99225 × 3 × 1987 × 430449913 × 6002731589 × 74577110579
993509 × 3271 × 358079 × 591100571 × 72062813321
9942 × 239 × 40581113
9953 × 5 × 67 × 3398851 × 180577513
99622 × 139
9977 × 3767 × 5176091 × 11674873603 × 17609514283
9982 × 32 × 133 × 19 × 837077
99923 × 307 × 2379847348429

Cantidad de factores primos

DígitosGúgolplex + 10Otros números
131898
25652
34383
45308
59222
619184
719161
832141
939118
1050114
116396
128494
1312489
1414580
157836

Cantidad de factores conocidos hasta diferentes potencias de 10

Factores10110210310410510610710810910101011101210131014Cota
023011780634641342926221817151515
126622718915013411910710092848177726868
2206218212206203176164153149146142139136123118
3132176194203188198201206191187176163163168164
480100105126152160164157168172178180172170169
54082108103102113113116127124132140147151152
62337546076869610495104103101106103112
791925465047515362606370657472
891016212025344145525454586162
918681015161922222429333233
10023588689121213141414
11225555754565688
12001223245423333
13000022322244555
14000000010120000
15000000001113322
16000000000000011

Usted puede bajar el programa (código fuente y ejecutable Windows) que escribí para factorizar estos números. Si desea extender la tabla, por favor baje el código y córralo en una línea de comandos de Windows como:

GOOGOL número_inicial

Esta versión soporta números hasta 16 × 1014.

El archivo de salida se llama cccc. Contiene el número inicial y los factores como una serie de líneas donde cada línea contiene un valor n que corresponde al valor gúgolplex − n y el divisor primo. Usted puede parar el programa apretando la tecla Esc. Por favor copie el contenido del archivo (si encontró factor(es)) en este formulario. Usted aparecerá en esta página como el descubridor.

Actualizado el 16 de agosto de 2026.