693 421 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
53038315068198497675402041	26	85.5	2021-04-17 03:42:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	23F8	0
Verified (Factored)		Martin Eibl	A039F319EFB063F8	0
Verified (Factored)		Klaus Kastens	A039F319EFB063F8	318543
Verified (Factored)	2015-04-11	MadPoo	A039F319EFB063F8	297800

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-04-17	mikr	E4D0B08C0294B85F	1	579144	5	3
Verified	2022-10-20	ATH	E4D0B08C0294B85F	1	530477	5	3

History

Date	User	Type	Result
2022-10-20	daekaz	CERT	PRP Certification Proof certified good
2022-10-20	ATH	C-PRP	M693421/53038315068198497675402041 : E4D0B08C0294B85F PRP proof power = 6 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-04-17	mikr	C-PRP	M693421/53038315068198497675402041 : E4D0B08C0294B85F PRP proof power = 6 PRP: Verified PRP proof never uploaded
2021-04-17	GAN	F-ECM	Factor: 53038315068198497675402041 / (ECM curve 5, B1=250000, B2=25000000, Sigma=1740134595039465)
2020-01-09	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-08-18	Smok_bmv	NF	no factor from 2^65 to 2^66
2017-01-23	Conductor	NF	no factor from 2^64 to 2^65
2015-11-03	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-03	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-16	lycorn	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	A039F319EFB063F8
2012-06-07	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2012-02-17	Joss	NF-PM1	B1=534063
2011-07-19	Joss	NF-PM1	B1=320438
2010-11-20	Sid & Andy	NF	no factor from 2^60 to 2^61
2008-10-12	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-12	Sturle Sunde	NF	no factor from 2^58 to 2^59