8 895 769 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
17368978322708050419596928169075186160836193	44	143.6	2022-07-16 03:35:50

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-01-12	Carsten Straaberg	F9195D092FBCA014	6217322
Verified (Factored)	2003-03-27	Marek Vokac	F9195D092FBCA014	4433010

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-07-22	Oliver Kruse	320163D4E8834608	1	7052226	5	3

P-1 factors

Date	Factor	B1	B2
2022-07-16	17368978322708050419596928169075186160836193	3000000	4198632900

History

Date	User	Type	Result
2022-07-22	Section 31	CERT	PRP Certification Proof certified good
2022-07-22	Oliver Kruse	C-PRP	M8895769/17368978322708050419596928169075186160836193 : 320163D4E8834608 PRP proof power = 8 PRP: Verified Proof certified good
2022-07-16	linament	F-PM1	Factor: 17368978322708050419596928169075186160836193 / (P-1, B1=3000000, B2=4198632900)
2022-07-15	linament	NF-PM1	B1=2999900
2022-06-29	linament	NF	no factor from 2^71 to 2^72
2021-11-26	mikr	NF	no factor from 2^70 to 2^71
2020-10-02	-Anonymous-	NF	no factor from 2^69 to 2^70
2020-05-01	TJAOI	NF	no factor from 2^68 to 2^69
2018-04-17	monst	NF	no factor from 2^67 to 2^68
2016-03-09	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-25	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-01-11	lycorn	NF	no factor from 2^64 to 2^65
2012-06-21	firejuggler	NF-PM1	B1=105000, B2=1942500, E=6