321 647 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
352796631338861307096648881	27	88.2	2019-03-15 09:02:08
94197462757485825109336868791	29	96.2	2024-12-02 09:30:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	165 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	9F4	0
Verified (Factored)		Unknown	09F4	0
Verified (Factored)		Guillermo Ballester Valor	3C5E58BF81A489F4	0
Verified (Factored)		Eivind Triel	3C5E58BF81A489F4	108241
Verified (Factored)	2002-01-15	Dennis Pope	3C5E58BF81A489F4	17460

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2019-03-16	artorollo	F7EB566D63A517FA	1	301853	5	3
Verified (Factored)	2019-03-16	ANONYMOUS	F7EB566D63A517FA	1	195448	5	3
Verified (Factored)	2019-03-19	Luigi Morelli	F7EB566D63A517FA	1	274768	5	3
Verified	2024-12-02	Ahmed Azhad	F7EB566D63A517FA	2	243080	5	3

History

Date	User	Type	Result
2024-12-02	Mark Filipski	CERT	PRP Certification Proof certified good
2024-12-02	Ahmed Azhad	C-PRP	M321647/352796631338861307096648881/94197462757485825109336868791 : F7EB566D63A517FA PRP proof power = 5 PRP: Verified Proof certified good
2024-12-02	Ahmed Azhad	F-ECM	Factor: 94197462757485825109336868791 / (ECM curve 8, B1=603459, B2=4135085955, Edwards Sigma=1231585065486493)
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-19	Luigi Morelli	C-PRP	M321647/352796631338861307096648881 : F7EB566D63A517FA PRP: Verified (Factored) PRP without proof (small exponent)
2019-03-16	ANONYMOUS	C-PRP	M321647/352796631338861307096648881 : F7EB566D63A517FA PRP: Verified (Factored) PRP without proof (small exponent)
2019-03-16	artorollo	C-PRP	M321647/352796631338861307096648881 : F7EB566D63A517FA PRP: Verified (Factored) PRP without proof (small exponent)
2019-03-15	alex	F-ECM	Factor: 352796631338861307096648881 / (ECM curve 46, B1=250000, B2=25000000, Sigma=5792967599818903)
2018-01-22	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-06-28	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-08	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-08	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-22	NR	NF	no factor from 2^61 to 2^62
2012-04-27	David Campeau	NF	no factor from 2^60 to 2^61
2012-01-22	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-06	Joss	NF-PM1	B1=1445978
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59