Known 111-digit prime factors of googolduplex − 1

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  3. Known 111-digit prime factors of googolduplex − 1

This is a list of known 111-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 4907772109 0676177808 5907266251 8374977294 3953798880 3495915105 2323406479 3600000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  2. 1 9738994551 8210124320 6340176611 2292794010 1716604073 0554776481 9280065986 5600000000 0000000000 0000000000 0000000001 (Phil Carmody, k=143)
  3. 2 0748897734 1085036576 7680000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=703)
  4. 2 1597247314 8408293032 8397052106 5225377898 4082364407 3570645049 3440000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
  5. 2 5031098077 1981650280 6666061917 4438843000 4436213670 2464781689 3841666637 4114918814 4558158695 6288000000 0000000001 (Phil Carmody, k=3)
  6. 3 1457280000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 3 9090570515 7859606480 0308340636 5476548671 7224121093 7500000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=923)
  8. 4 3906149559 7428505901 4494289346 1525118312 9748373591 3110932191 4102121601 4336000000 0000000000 0000000000 0000000001 (Phil Carmody, k=497)
  9. 4 4675310007 3223919988 6253253548 5813320853 4828898963 7063475200 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=911)
  10. 5 4470317145 6717427645 3442871570 5871582031 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=157)
  11. 5 7802752000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=441)
  12. 6 3410649734 8934971530 1597611331 2099739143 4288205246 3650909685 6231369643 6780944279 7351987295 6388754981 8622443521 (Phil Carmody, k=27)
  13. 7 0781061038 0800000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=103)
  14. 9 0037224900 1032761303 6696881584 5352141656 2520540693 9812746713 8692736625 6713867187 5000000000 0000000000 0000000001 (Phil Carmody, k=187)