Known 211-digit prime factors of googolduplex − 1

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  3. Known 211-digit prime factors of googolduplex − 1

This is a list of known 211-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. 1 1974529911 6816281711 9930142105 0639160002 6740667156 2067320697 9528291778 5600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=347)
  2. 1 4551411682 2111999363 1608537328 0073780730 9245585546 9699526422 0953288871 8818806137 4703142921 7255424000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=109)
  3. 1 5023140325 4668348862 2978695201 9163937754 5794032862 7984844153 5813988562 0857546082 0810255564 8000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=59)
  4. 1 5576890575 6044828855 9148898766 0288000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 2 9615307401 8031372330 4580579986 8142584312 5297967997 9862395226 6028293379 4473867482 9296847662 7699244761 1720862987 2104645203 0668800000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  6. 3 0809514462 6424219841 1334117852 9245160031 9209630925 2521985296 2435702935 1481763535 2576000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=203)
  7. 3 3881317890 1720135627 3290002718 5678482055 6640625000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 3 9173578829 8931261810 8704524678 6263433165 9786375463 7370262319 5289795887 6746997702 8667926788 3300781250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=273)
  9. 3 9827297778 3113069257 2200994419 2795139777 6138798154 6965184714 6334654072 5378264540 2357724686 8004567148 5245861731 5278388559 8182678222 6562500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 4 8865257212 9751764345 2557956978 2435264115 6741647196 6772952123 8946684076 0881881346 8339798643 5703753855 9339423928 8972664585 0603520000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=231)
  11. 7 5885503602 5675418327 9148073529 3707290719 0171504742 0004889892 2255425948 6408284569 6000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  12. 7 6658811619 9490170490 2903156222 8742676807 6800000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)