Known 305-digit prime factors of googolduplex − 1

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  3. Known 305-digit prime factors of googolduplex − 1

This is a list of known 305-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. 12805 6854009628 2958984375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 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=11)
  2. 12983 8761812611 9094169224 6384761172 0219746130 4382947004 9362579909 0041768300 8282396337 5441770439 2713949726 9611156284 4443266964 5278122019 5920754256 1909511742 9003201144 1418333993 2801532874 0174221943 3832329095 0840145946 1567668107 1919188698 6177479308 8014414312 6983004299 3795871097 9728493839 5023345947 2656250001 (Phil Carmody, k=9)
  3. 30920 2034040294 5060960964 5875093950 3093421788 0533299016 5766204881 9474875926 9714355468 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=411)
  4. 32003 7198041136 2879269783 6166197023 9356083788 2100868427 6552923721 8038313923 6002683364 3016023016 8320569672 2358737322 2345265552 4443617898 0912608165 6741849588 4165728664 0854674503 7279278442 1220618715 7565847041 8090771544 4667956551 0207408806 8954898403 0861570465 5981204496 1290666833 5199356079 1015625000 0000000001 (Phil Carmody, k=677)
  5. 32944 3685725953 8507608929 3910218809 3990936293 1990158609 3993009453 4629509092 8049872578 2423032654 9080908224 0026071987 0237720470 8059190061 4430867387 3050911234 9498224148 1920937076 2109756469 7265625000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 78545 4954447636 2484953235 1279780410 2876034481 9999119304 1784785874 9936840755 4745370336 1566144597 3112364349 3714504211 0056210686 6977667955 0244492023 7185743415 2360496874 3135779085 6623068975 7503569126 1291503906 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)