Known 261-digit prime factors of googolduplex − 1

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  3. Known 261-digit prime factors of googolduplex − 1

This is a list of known 261-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 1429873912 8227498221 5783548305 3409594519 0999482279 8661215125 8432276326 3590673819 5675448021 8601720296 4918305435 3374028232 2205413622 8391875112 6042293410 0412419655 1401737608 5261008455 8397029520 2616562768 5827530513 0518972873 6877441406 2500000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 1 6163047323 8064532345 7012738680 5878070006 6514056162 0342074533 5961328237 3175024986 2670898437 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  3. 3 8893845486 6321356696 5040033612 5776503689 0760545072 9458188197 8842435617 7127211465 0739965514 4535710105 9810411847 1951551327 9475271701 8127441406 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 4 0569442273 1436714064 4085442317 7307177457 7397676633 3908933011 4706911045 9072959461 1403310090 4785092285 5537069280 5001267685 8354643272 2641839063 7263655662 5366210937 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  5. 4 3200000000 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=27)
  6. 4 8467614016 7789653244 9660305097 4385951121 8033730983 7341308593 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 6 7053176943 7860034599 9692804903 6829522222 5469842669 5540547370 9106445312 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=17)