Known 19-digit prime factors of Googolplex - 1
-
Alpertron
-
Number Theory
-
Known 19-digit prime factors of Googolplex − 1
This is a list of known
19-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.
- 100774130 4832000001 (Dario Alpern, k=961057)
- 104857600 0000000001 (Phil Carmody, k=1)
- 122070352 5273600001 (Dario Alpern, k=181899)
- 124600000 0000000001 (Phil Carmody, k=623)
- 133700613 9375616001 (Phil Carmody, k=19)
- 145956250 0000000001 (Dario Alpern, k=23353)
- 170106880 0000000001 (Dario Alpern, k=4153)
- 171523813 9330560001 (Phil Carmody, k=39)
- 206158430 2080000001 (Phil Carmody, k=3)
- 242155624 8576000001 (Dario Alpern, k=9021)
- 272178649 9023437501 (Phil Carmody, k=1427)
- 281250000 0000000001 (Phil Carmody, k=9)
- 290625000 0000000001 (Phil Carmody, k=93)
- 337769972 0527872001 (Phil Carmody, k=3)
- 390625000 0000000001 (Phil Carmody, k=1)
- 393511500 0000000001 (Dario Alpern, k=787023)
- 484863281 2500000001 (Phil Carmody, k=993)
- 515396075 5200000001 (Phil Carmody, k=3)
- 524390400 0000000001 (Dario Alpern, k=5121)
- 545259520 0000000001 (Phil Carmody, k=13)
- 766575000 0000000001 (Dario Alpern, k=30663)
- 789349662 7200000001 (Dario Alpern, k=301113)
- 805306368 0000000001 (Phil Carmody, k=3)
- 814000000 0000000001 (Phil Carmody, k=407)
- 858306884 7656250001 (Phil Carmody, k=9)
- 862017116 1763840001 (Phil Carmody, k=49)
- 905164357 6320000001 (Phil Carmody, k=843)
- 933149871 8261718751 (Dario Alpern, k=6115491)
- 943718400 0000000001 (Phil Carmody, k=9)
- 963905625 0000000001 (Dario Alpern, k=1542249)