Known 170-digit prime factors of googolduplex − 1

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  3. Known 170-digit prime factors of googolduplex − 1

This is a list of known 170-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. 1638400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 1686531951 6255121726 1902220921 4467130421 5890959415 8660681752 4392240610 4781297494 0524248712 1361090021 1565742591 9470070661 1200000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=209)
  3. 1905364105 4174757271 6161940294 9930606536 0096085601 6305594430 9667740095 0554319858 5212421026 7983088361 3036053046 3953040948 2084946093 3156038246 4000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 2730000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=273)
  5. 3794707603 6992655190 2608480304 4795989990 2343750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  6. 3840499524 9820995125 6013910907 0953878799 1443672540 7865963774 9174038629 0961050964 8318786132 1403412478 2525794421 6405348161 2327469469 3392639590 4000000000 0000000000 0000000001 (Phil Carmody, k=129)
  7. 4037775130 6025187535 7245831064 8168718335 5531636759 7017820792 8126419124 2286526603 6361133901 5778242044 2920540172 9358500337 3079418784 8061339708 8514237482 6484559983 4112000001 (Phil Carmody, k=359)
  8. 4572873853 0019417451 8788656707 9833455686 4230605443 9133426634 3202576228 1330367660 4509810464 3159412067 1286527311 3487298275 7003870623 9574491791 3600000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 5868080043 0797096141 4590930049 5289073882 2802163941 6154684953 4448678204 8544481636 3435121638 0870700848 4461611806 6437683361 7012010901 8810694578 8604207336 9026184082 0312500001 (Phil Carmody, k=81)
  10. 5907205802 4974590321 5561353208 3844049076 9765614580 6939982545 3309153693 2542873600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=653)
  11. 6519258022 3083496093 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  12. 6635506154 9583000375 3580484491 9480123392 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)