Known 21-digit prime factors of Googolplex - 1
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Alpertron
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Number Theory
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Known 21-digit prime factors of Googolplex − 1
This is a list of known
21-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 0225985903 8981324801 (Dario Alpern, k=3633)
- 1 1796480000 0000000001 (Phil Carmody, k=9)
- 1 2364113510 4000000001 (Dario Alpern, k=943307)
- 1 5000000000 0000000001 (Phil Carmody, k=3)
- 1 5273437500 0000000001 (Phil Carmody, k=391)
- 1 5735626220 7031250001 (Phil Carmody, k=33)
- 1 5955433593 7500000001 (Dario Alpern, k=4084591)
- 1 6648193359 3750000001 (Dario Alpern, k=68191)
- 1 9200000000 0000000001 (Phil Carmody, k=3)
- 1 9660800000 0000000001 (Phil Carmody, k=3)
- 2 1045339750 4000000001 (Phil Carmody, k=49)
- 2 5592664064 0000000001 (Dario Alpern, k=6248209)
- 2 5600000000 0000000001 (Phil Carmody, k=1)
- 2 5963200000 0000000001 (Dario Alpern, k=16227)
- 2 6017600000 0000000001 (Dario Alpern, k=16261)
- 2 6843545600 0000000001 (Phil Carmody, k=1)
- 2 7343750000 0000000001 (Phil Carmody, k=7)
- 3 6934265136 7187500001 (Dario Alpern, k=605131)
- 3 6944335937 5000000001 (Dario Alpern, k=37831)
- 3 9843832791 0400000001 (Dario Alpern, k=949951)
- 4 0960000000 0000000001 (Phil Carmody, k=1)
- 4 1938134765 6250000001 (Dario Alpern, k=858893)
- 4 6116860184 2738790401 (Phil Carmody, k=1)
- 5 9323200000 0000000001 (Dario Alpern, k=37077)
- 5 9604644775 3906250001 (Phil Carmody, k=1)
- 6 6498463247 8924800001 (Phil Carmody, k=189)
- 6 6757202148 4375000001 (Phil Carmody, k=7)
- 6 9175290276 4108185601 (Phil Carmody, k=3)
- 7 3814613619 1139840001 (Dario Alpern, k=33567)
- 7 6800000000 0000000001 (Phil Carmody, k=3)
- 8 4170342400 0000000001 (Dario Alpern, k=102747)