Known 31-digit prime factors of Googolplex - 1
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Alpertron
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Number Theory
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Known 31-digit prime factors of Googolplex − 1
This is a list of known
31-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.
- 1 0625324586 4567017308 1600000001 (Phil Carmody, k=9)
- 1 0715883342 4633566616 0926720001 (Dario Alpern, k=1452273)
- 1 0777600000 0000000000 0000000001 (Phil Carmody, k=421)
- 1 2884901888 0000000000 0000000001 (Phil Carmody, k=3)
- 1 4934375000 0000000000 0000000001 (Dario Alpern, k=4779)
- 1 5312238733 0596864000 0000000001 (Phil Carmody, k=17)
- 1 5643239021 3012695312 5000000001 (Dario Alpern, k=5249)
- 2 2893073037 2667312622 0703125001 (Dario Alpern, k=3933)
- 2 3592960000 0000000000 0000000001 (Phil Carmody, k=9)
- 2 5023100569 7073753148 6208000001 (Dario Alpern, k=271301)
- 2 6575110144 0000000000 0000000001 (Phil Carmody, k=99)
- 3 1391746727 4352294625 2800000001 (Dario Alpern, k=6807)
- 3 1688526272 7737426757 8125000001 (Dario Alpern, k=2126581)
- 3 5092800000 0000000000 0000000001 (Dario Alpern, k=21933)
- 3 6379788070 9171295166 0156250001 (Phil Carmody, k=1)
- 3 7252902984 6191406250 0000000001 (Phil Carmody, k=1)
- 3 9173755794 7635650634 7656250001 (Phil Carmody, k=673)
- 3 9321600000 0000000000 0000000001 (Phil Carmody, k=3)
- 4 1875000000 0000000000 0000000001 (Phil Carmody, k=67)
- 4 9325015040 0000000000 0000000001 (Phil Carmody, k=147)
- 5 4463134765 6250000000 0000000001 (Dario Alpern, k=223081)
- 5 8112081920 0000000000 0000000001 (Phil Carmody, k=2771)
- 5 9891389860 5641832857 6000000001 (Dario Alpern, k=20779)
- 6 9031719473 8886707453 1965009921 (Dario Alpern, k=571017)
- 6 9384956148 7114240000 0000000001 (Dario Alpern, k=252421)
- 7 0464307200 0000000000 0000000001 (Phil Carmody, k=21)
- 7 4732430950 4000000000 0000000001 (Phil Carmody, k=87)
- 8 0530636800 0000000000 0000000001 (Phil Carmody, k=3)
- 8 2255085568 0000000000 0000000001 (Dario Alpern, k=1255113)
- 9 0388191968 4220407717 5955521537 (Dario Alpern, k=14603)