Known 183-digit prime factors of googolduplex − 1

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  3. Known 183-digit prime factors of googolduplex − 1

This is a list of known 183-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. 101 3065324433 8361715118 1832609647 4890383898 0059185636 9628800227 7756507034 0363545279 2961597874 6851512277 3920621609 6210673398 3191180520 4529560270 6905129735 4415786421 3387210716 6105600001 (Phil Carmody, k=1)
  2. 110 6804644422 5730969600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 129 1330751132 5470260255 5065004614 4375914053 3870515167 5861850674 7472290984 8337872864 9824406834 0100901117 8731263865 5674236383 4914637461 9424358400 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=347)
  4. 148 7769418703 6635920899 4705691049 2842699865 4508397243 7288896911 1847096899 7682268598 0682031692 2681968208 0531492829 3228149414 0625000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=57)
  5. 152 9134475027 4503508537 6976196689 4677270356 7852159730 9541259539 3822720000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=363)
  6. 161 0612736000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 182 3700810216 9045776240 2328670463 2758272000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=343)
  8. 226 1695721420 2547524708 9954742992 4635886342 7741886964 5561590821 0198122807 4549790107 9943403601 6464233398 4375000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=807)
  9. 243 5402612274 7295512898 1313443973 3769249181 6822560402 0337556877 7863523544 5250778688 3315294869 0472692920 2596929909 0469283085 7638870138 7324316764 2452649574 4000000000 0000000000 0000000001 (Phil Carmody, k=93)
  10. 407 1191290465 2546170449 1137195916 6330432754 8196117801 7951906130 4509150797 3379008883 4376573770 1113856000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=953)
  11. 476 1600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=93)
  12. 492 8400798163 2705677157 4004943227 9078004803 7223313265 0692941341 9336802580 2997760000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=681)
  13. 502 7927973728 4739123402 5937432719 2297804762 1827221475 1664633554 1395661511 2775801163 0070286181 2588785383 7619468199 3226907015 7706054479 9637299126 1837728153 6000000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 529 7943435324 5230784883 5751859652 5946252755 4682880000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
  15. 560 3590144000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=167)
  16. 819 5823786813 7944975787 7258645396 7724785691 9044523340 3425549751 5761664000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=19)
  17. 966 1343807543 1458617383 7972732996 8360747318 3242660874 9664308812 8628797855 7239010613 4048441645 4806444906 1590400787 5544294341 2696652607 4691393572 7168366770 1871742452 0370585600 0000000001 (Phil Carmody, k=1)