2 285 329 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1709502090271004452710013919	28	90.5	2015-12-29 12:29:42
18862259048900760680253542783	29	93.9	2025-09-19 07:48:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	125 / 640

Estimated T-Level: 26.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		John Lloyd	2B570E6CA4317337	0
Verified (Factored)	1999-03-15	Toni Ahokas	2B570E6CA4317337	164905

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	4F930790781E3BBB	1	0	1	3
Verified (Factored)	2017-10-30	Oliver Kruse	4F930790781E3BBB	1	140971	1	3
Verified	2025-09-25	Vinickw	69912E8C7ED2FE87	2	162312	5	3

P-1 factors

Date	Factor	B1	B2
2015-12-29	1709502090271004452710013919	360126	3601260

History

Date	User	Type	Result
2025-09-25	Chun sung soo	CERT	PRP Certification Proof certified good
2025-09-25	Vinickw	C-PRP	M2285329/1709502090271004452710013919/18862259048900760680253542783 : 69912E8C7ED2FE87 PRP proof power = 7 PRP: Verified Proof certified good
2025-09-19	TJAOI	F-ECM	Factor: 18862259048900760680253542783 / (ECM curve 10, B1=250000, B2=254050335, Edwards Sigma=3754691225000073)
2017-10-30	Oliver Kruse	C-PRP	M2285329/1709502090271004452710013919 : 4F930790781E3BBB PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2285329/1709502090271004452710013919 : 4F930790781E3BBB PRP: Verified (Factored) PRP without proof (not generated)
2016-04-15	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-29	Joss	F-PM1	Factor: 1709502090271004452710013919 / (P-1, B1=360126, B2=3601260, E=6)
2015-11-01	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-12	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-12	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-07	Joss	NF-PM1	B1=141170
2014-06-11	Joss	NF-PM1	B1=113085
2013-12-06	Jerry Hallett	NF	no factor from 2^62 to 2^63
2012-05-10	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-15	Oscar Östlin	NF-PM1	B1=85000, B2=1742500, E=6
2010-10-14	Oscar Östlin	NF-PM1	B1=75011
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61