Known 55-digit prime factors of Googolplex - 1
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Alpertron
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Number Theory
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Known 55-digit prime factors of Googolplex − 1
This is a list of known
55-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.
- 10491 6075827077 2930700331 9263458251 9531250000 0000000001 (Phil Carmody, k=189)
- 13000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)
- 13898 7171397024 8744960000 0000000000 0000000000 0000000001 (Dario Alpern, k=3950253)
- 22409 9901444579 0136159436 8000000000 0000000000 0000000001 (Dario Alpern, k=9491)
- 22988 1624803571 2161978949 5525765232 7418327331 5429687501 (Dario Alpern, k=1696227)
- 26491 1933549838 3360000000 0000000000 0000000000 0000000001 (Dario Alpern, k=30117)
- 31349 1821289062 5000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4109)
- 38843 5467860705 2800000000 0000000000 0000000000 0000000001 (Phil Carmody, k=69)
- 40582 8369621610 1355520000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
- 42988 6161390502 5080839550 3554493188 8580322265 6250000001 (Phil Carmody, k=793)
- 47197 6640512000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=7033)
- 53125 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=17)
- 58616 1192960000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=894411)
- 61602 3498878348 6187458038 3300781250 0000000000 0000000001 (Dario Alpern, k=27093)
- 63263 5419606231 1530113220 2148437500 0000000000 0000000001 (Dario Alpern, k=69559)
- 65536 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
- 86842 5487325416 9936291430 4000000000 0000000000 0000000001 (Dario Alpern, k=147117)
- 86857 4716150760 6506347656 2500000000 0000000000 0000000001 (Dario Alpern, k=7461)