8 314 289 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁷²

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
175913726663	12	37.4	old
2870224573044769947887	22	71.3	2025-03-14 01:58:01
6540180270798239246201	22	72.5	2025-03-14 01:58:01
7155137439004037207897	22	72.6	2025-03-14 01:58:01
1664399860924383175230176129	28	90.4	2024-06-07 17:49:21

P-1 factors

Date	Factors	B1	B2
2025-03-14	2870224573044769947887 6540180270798239246201 7155137439004037207897	1690000	6798611820
2024-06-07	1664399860924383175230176129	1406000	1406000

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2018-10-07	rucio	4B8AF4087DB55C79	1	1880624	5	3
Factored	PRP without proof (not generated)	2020-04-18	arnaud	4B8AF4087DB55C79	1	4304534	5	3
Factored	Certified Good	2024-06-13	dnova	4B8AF4087DB55C79	2	1359389	5	3
Verified	Certified Good	2025-03-14	beep	4B8AF4087DB55C79	5	869438	5	3

History

Date	User	Type	Result
2025-03-29	beep	F	Factor: 2870224573044769947887 / TF: 68-72
2025-03-14	ohne-makler	CERT	Proof certified good
2025-03-14	beep	C-PRP	M8314289/175913726663/2870224573044769947887/6540180270798239246201/7155137439004037207897/1664399860924383175230176129 : 4B8AF4087DB55C79 Proof Certified Good Proof Power: 8
2025-03-14	beep	F-PM1	Factors: 2870224573044769947887,6540180270798239246201,7155137439004037207897 / B1=1690000, B2=6798611820
2024-06-13	Michal Milsimr	CERT	Proof certified good
2024-06-13	dnova	C-PRP	M8314289/175913726663/1664399860924383175230176129 : 4B8AF4087DB55C79 Proof Certified Good Proof Power: 8
2024-06-07	Stef42	F-PM1	Factor: 1664399860924383175230176129 / B1=1406000
2020-04-18	arnaud	C-PRP	M8314289/175913726663 : 4B8AF4087DB55C79
2018-10-07	rucio	C-PRP	M8314289/175913726663 : 4B8AF4087DB55C79