Known 51-digit prime factors of Googolplex - 1
-
Alpertron
-
Number Theory
-
Known 51-digit prime factors of Googolplex − 1
This is a list of known
51-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 0012892683 2095446171 6480000000 0000000000 0000000001 (Phil Carmody, k=1357)
- 1 0253906250 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
- 1 2005958706 1405181884 7656250000 0000000000 0000000001 (Dario Alpern, k=128913)
- 1 4275403775 7431007094 0555306151 5092849731 4453125001 (Dario Alpern, k=822921)
- 2 0418399251 2484808305 5159961190 4000000000 0000000001 (Dario Alpern, k=2111213)
- 2 2136092888 4514619392 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
- 2 2646312713 6230468750 0000000000 0000000000 0000000001 (Dario Alpern, k=1187319)
- 2 9572436593 1656249344 0000000000 0000000000 0000000001 (Phil Carmody, k=513)
- 3 0743953408 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=938231)
- 3 8302694349 5679006446 1529254913 3300781250 0000000001 (Phil Carmody, k=69)
- 3 9695731916 8000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=47321)
- 4 4056969216 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1313)
- 5 1691984026 5472885221 2429046630 8593750000 0000000001 (Phil Carmody, k=291)
- 5 7381987571 7163085937 5000000000 0000000000 0000000001 (Dario Alpern, k=96271)
- 7 3718400000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=23037)
- 7 4827307808 7607910400 0000000000 0000000000 0000000001 (Dario Alpern, k=3323)
- 8 6127160000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2153179)