86 135 671 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite: proven not-prime with PRP test

TF

No factors below 2⁷⁶

TF target 2⁷⁵

P-1

B1 =	700000
B2 =	13825000

Status	Date	User	Residue	Shift	Type	Base
Verified	2019-07-29	ky0uraku	A8167C6BC7E1DE99	60217108	1	3
Verified	2025-01-22	GdS	A8167C6BC7E1DE99	0	1	3

History

Date	User	Type	Result
2025-01-22	Torchwood Institute	CERT	PRP Certification CERT proof power = 10 Proof certified good
2025-01-22	GdS	C-PRP	A8167C6BC7E1DE99 PRP proof power = 10 PRP: Verified Proof certified good
2019-07-29	ky0uraku	C-PRP	A8167C6BC7E1DE99 PRP: Verified PRP without proof (not generated)
2018-02-16	Oliver Kruse	NF-PM1	B1=700000, B2=13825000, E=12
2017-12-10	TheJudger	NF	no factor from 2^75 to 2^76
2017-12-08	Brian Beuning	NF	no factor from 2^74 to 2^75
2017-05-31	-Anonymous-	NF	no factor from 2^73 to 2^74
2017-03-27	Judge Hale	NF	no factor from 2^72 to 2^73
2017-03-27	Judge Hale	NF	no factor from 2^71 to 2^72
2014-11-29	PascalBieri	NF	no factor from 2^70 to 2^71
2014-02-19	SMoffat	NF	no factor from 2^69 to 2^70
2013-10-15	pi	NF	no factor from 2^68 to 2^69
2013-03-13	ramgeis	NF	no factor from 2^67 to 2^68
2013-03-11	wangyun183	NF	no factor from 2^66 to 2^67
2011-03-03	Michael C	NF	no factor from 2^65 to 2^66
2010-11-20	Architects Cubed	NF	no factor from 2^64 to 2^65