Known 233-digit prime factors of googolduplex − 1

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  3. Known 233-digit prime factors of googolduplex − 1

This is a list of known 233-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. 144 8814593118 2751502583 0395060919 3182978536 7954380075 4565971708 5059948216 3200000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  2. 161 9281604080 2083672599 4097427507 4919584250 0683318027 5969194440 0656610963 0929550733 6965765690 1054042480 1026176149 0306192443 6581052530 9900050599 3820819838 9020253671 3331937789 9169921875 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 194 0073737485 6615337834 4907661057 6134103805 1705397824 6813208421 1112343996 6660221064 7303068377 1553587539 9429474825 4011838840 3961434839 8489103895 2985848786 2356330427 2795545374 3415858980 3701033815 7415390014 6484375000 0000000000 0000000001 (Phil Carmody, k=247)
  4. 214 2333984375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=351)
  5. 264 3566060419 5279712965 5064784604 8871735116 8880797926 7861229074 9446795891 4115154266 7482031060 5161546265 8988930239 0457004321 4334873482 5849533081 0546875000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=87)
  6. 310 1927297073 8537807677 8259526236 0700871795 4158782958 9843750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 434 6725957836 8219364043 7725962614 0054727614 9751067863 3099965514 7169040632 9245656550 7497509694 1259887737 8971708625 0135823482 3711779171 1625613970 6820249557 4951171875 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  8. 518 7485597831 7655549759 8012838921 8271826495 3130206972 6896769976 3554508207 8691328000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  9. 541 3122726159 4555848022 5114732108 6414820789 8489996512 4420490387 6607845268 2020590957 8670232072 4182313529 5946101141 0169145510 0462402327 8211097931 4893484115 6005859375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=467)