Known 95-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 95-digit prime factors of Googolplex + 10

This is a list of known 95-digit prime factors of googolplex + 10, i.e., 10^{10^100} + 10.

These numbers have the form 1 + 2k ∏_i p_i^e_i, where p_i is a prime factor of 10¹⁰⁰ − 1 and e_i is zero or one.

The list of prime factors of 10¹⁰⁰ − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

1. 11095 2234388759 8756692940 4026113170 8833905373 5841595253 6392804601 4598277098 8184529012 4675489533 (Patrick Demichel, k=316462)
2. 14515 5231049453 4503075120 1677477190 4719420150 7737941654 7493122314 2241002259 3939550051 2457347291 (David Broadhurst, k=55)
3. 16157 4254619206 3266696022 7986553476 7681663356 0000016157 4254619206 3266696022 7986553476 7681663357 (Patrick Demichel, k=90478)
4. 19992 6480235609 2255010032 0996074834 2557732582 0000019992 6480235609 2255010032 0996074834 2557732583 (Patrick Demichel, k=63049)
5. 20380 4769627850 8767782135 8150230148 6303541242 7767611601 9208655487 6881457449 0377647329 7088719527 (Patrick Demichel, k=754493)
6. 23576 1576110910 2868549472 5719537205 1075720787 3129895770 8446238715 5998421667 2589665010 4205592983 (Paul Leyland, k=34259)
7. 26156 7667972941 4159598518 6753302579 1114656922 9517111725 8150887372 3676684087 7236217010 0631742493 (Patrick Demichel, k=1913866)
8. 26840 8372546135 3296631553 2431797192 4069006750 3660009896 4712563079 6956614608 8771814136 7728989807 (Patrick Demichel, k=25527)
9. 28050 2172158547 9043034182 7901622240 7288024612 8514879535 3657307062 7557885667 9386770755 5802876099 (Patrick Demichel, k=362651)
10. 38076 4544523232 8607710681 7280519163 0139266051 6633701442 7910859866 5241374048 0646855796 6772929419 (Patrick Demichel, k=187069)
11. 47534 2947376128 1465025082 0329078777 0638010432 2574304960 0373118702 4039282507 7754821351 3212267859 (Phil Carmody, k=913)
12. 67688 3080079466 9625816487 6492076010 4135293680 0000067688 3080079466 9625816487 6492076010 4135293681 (Patrick Demichel, k=275480)
13. 82469 4455584555 3407423211 4074278656 3865689138 0000082469 4455584555 3407423211 4074278656 3865689139 (Patrick Demichel, k=522769)
14. 90874 0031767769 6674016829 2595616512 4906050090 0000090874 0031767769 6674016829 2595616512 4906050091 (Phil Carmody, k=255)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.