Known 184-digit prime factors of googolduplex − 1

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  3. Known 184-digit prime factors of googolduplex − 1

This is a list of known 184-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 1238 3314206445 6825620426 0096886775 7298321147 7544914451 5560942692 2680954282 8492384209 0760331698 9192830995 4431055696 9386607737 2230816940 7258255922 0613751353 3893224578 4166400000 0000000001 (Phil Carmody, k=21)
  2. 1323 6213853339 8070610579 7225432302 5136374056 1248994776 7964282550 8811576172 5958062293 1009787698 9205957717 6661879547 6408107669 9416880182 3296986703 4624000000 0000000000 0000000000 0000000001 (Phil Carmody, k=53)
  3. 1430 5114746093 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  4. 1750 6173357326 4857647923 6744110769 2609233765 4267364180 0272166008 4147182393 9088936009 8545111776 7460103341 7722474571 5650710342 8004875139 4189498699 3427178252 5593100222 4640000000 0000000001 (Phil Carmody, k=19)
  5. 1773 0902788377 5156455255 6804506462 6212285882 6717094510 0057673203 1910574797 1737447751 3641981469 8212038362 9825956380 6720000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  6. 1803 6807035703 0391901912 1098334210 8370245241 9756158966 0703199466 1367365312 8801928458 0120830759 5023639285 2606156800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 1928 3256531107 8833065035 4510809395 1230266435 9253935140 2361651200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  8. 3404 3333353684 8300394090 9064652408 2327588894 7296821459 2110732550 1268303610 5735899682 6192604422 0567113656 9265836250 8902400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  9. 3867 5837615364 9511574949 3649880168 5223335229 5957918353 0049508463 5358233882 1297526010 3121399879 4555664062 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=69)
  10. 4154 3108887699 1195201954 3492933356 2549716725 5220872592 2747403745 9876911009 0710488207 6989532649 9934500406 9958943232 1298110295 5154710798 5243201255 7983398437 5000000000 0000000000 0000000001 (Phil Carmody, k=7)
  11. 4333 2839342041 8853523385 5910678728 4888031643 4285954854 7749493453 1917926231 5477940060 7783604942 2553405590 2021021042 0055206428 2608475623 9757300733 1175176659 5989465713 5009765625 0000000001 (Phil Carmody, k=49)
  12. 4382 7639532373 5071174022 2188419174 4507666295 5853241256 3769224571 9410601240 8717773072 8831664063 3589365582 0284461780 7757312000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=869)
  13. 5298 6543001149 7423210457 0559503553 0554380455 1941054865 9452063552 0268604103 4667086104 7932759703 3363929379 5878250968 0437135467 2458726008 4224000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=729)
  14. 5409 6846955566 6980595963 9581699055 4264848256 2137545160 6552726968 5908606788 8711113482 7136993408 2031250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=377)
  15. 5654 5549686242 1262119127 0355947011 6942975437 2686147689 8193359375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  16. 5815 3724815590 0694395415 5888726507 5200000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  17. 5986 3107065073 7835296229 3074805895 2485106996 9602969600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  18. 6427 7521770359 6110216784 8369364650 4100888119 7513117134 1205504000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  19. 9844 5557261683 8026078767 1431899070 7397460937 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=227)