Known 23-digit prime factors of Googolplex - 1
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Alpertron
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Number Theory
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Known 23-digit prime factors of Googolplex − 1
This is a list of known
23-digit prime factors of googolplex − 1, i.e., 1010^100 − 1.
These numbers have the form 1 + 2k × 2m × 5n,
where 0 ≤ m ≤ 100 and 0 ≤ n ≤ 100.
In the list you can see the prime factors and their corresponding value of k.
- 100 1500000000 0000000001 (Phil Carmody, k=2003)
- 135 5337524414 0625000001 (Dario Alpern, k=444117)
- +15343168188889137818369 ()
(k=59934250737848194603)
- 159 9569516088 5248000001 (Dario Alpern, k=3637)
- 160 0000000000 0000000001 (Phil Carmody, k=1)
- 163 8400000000 0000000001 (Phil Carmody, k=1)
- 164 9267441664 0000000001 (Phil Carmody, k=3)
- 165 5296000000 0000000001 (Dario Alpern, k=3233)
- 167 6380634307 8613281251 (Phil Carmody, k=9)
- 175 2346656768 0000000001 (Phil Carmody, k=51)
- 184 4674407370 9551616001 (Phil Carmody, k=1)
- 186 7776000000 0000000001 (Phil Carmody, k=57)
- 249 2455421214 7200000001 (Dario Alpern, k=3627)
- 262 1440000000 0000000001 (Phil Carmody, k=1)
- 308 1250000000 0000000001 (Phil Carmody, k=493)
- 405 5357440000 0000000001 (Dario Alpern, k=396031)
- 459 2980000000 0000000001 (Dario Alpern, k=229649)
- 540 4319552844 5952000001 (Phil Carmody, k=3)
- 639 6484375000 0000000001 (Phil Carmody, k=131)
- 719 6712798041 3131161601 (Dario Alpern, k=1278393)
- 804 2780416137 3645045761 (Phil Carmody, k=109)
- 840 1489257812 5000000001 (Phil Carmody, k=2753)
- 933 8664187315 4605056001 (Phil Carmody, k=81)
- 943 7184000000 0000000001 (Phil Carmody, k=9)