Known 200-digit prime factors of googolduplex − 1

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  3. Known 200-digit prime factors of googolduplex − 1

This is a list of known 200-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. 1136703037 2451520202 0576823149 3911570450 6495933986 0863329896 2899971229 4898927211 7614746093 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=967)
  2. 1593091911 1324522770 2888039776 7711805591 1045551926 1878607388 5853386162 9015130581 6094308987 4720182685 9409834469 2611135542 3927307128 9062500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 1884160000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=23)
  4. 2602085213 9652106416 1788672208 7860107421 8750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 2634790375 5715749782 4129880359 4016437031 9499324915 2796852040 1972029817 4194110674 7205744255 8837392925 1577641408 2271489500 9062930903 7281280000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
  6. 5934729841 0998742171 7077641847 6223221388 1036460124 6560392486 2494268130 1441530069 7439569933 2357133500 0581422706 1760185444 3279307815 8283606171 6079711914 0625000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 9353610478 9177786765 0358292938 4211325797 9682750464 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 9846144092 4331385528 0469462540 4358520970 7924752740 2745634463 5162641516 8361474922 9056000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=519)