3 321 467 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
2305589701873738153	19	61.0	2009-03-29 23:10:30
41606223235717604857	20	65.2	2018-07-10 10:30:02

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		R.G. Dean	3E88809F42726882	0
Verified (Factored)	1999-09-30	Jacek Jaworski	3E88809F42726882	1959491

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-04	Oliver Kruse	3BB33931D74A1522	1	1046420	5	3
Verified (Factored)	2017-12-15	kkmrkkblmbrbk	3BB33931D74A1522	1	1345000	5	3
Verified	2018-07-12	_p95holder_	3BB33931D74A1522	2	1661876	5	3

History

Date	User	Type	Result
2022-08-17	Joss	NF-PM1	B1=3321467, B2=382732350
2022-04-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-20	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-20	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-20	LordJulius	NF	no factor from 2^62 to 2^63
2021-12-29	Joss	NF-PM1	B1=3321467, B2=175178850
2021-10-08	Joss	NF	no factor from 2^67 to 2^68
2021-10-08	Joss	NF-PM1	B1=3321467, B2=66429340, E=12
2021-01-13	Joss	NF-PM1	B1=332146, B2=3321467, E=6
2021-01-12	Joss	NF-PM1	B1=332146
2018-07-12	_p95holder_	C-PRP	M3321467/2305589701873738153/41606223235717604857 : 3BB33931D74A1522 PRP: Verified PRP without proof (not generated)
2018-07-10	TJAOI	F	Factor: 41606223235717604857 / TF: 65-66
2017-12-15	kkmrkkblmbrbk	C-PRP	M3321467/2305589701873738153 : 3BB33931D74A1522 PRP: Verified PRP without proof (not generated)
2017-11-04	Oliver Kruse	C-PRP	M3321467/2305589701873738153 : 3BB33931D74A1522 PRP: Verified PRP without proof (not generated)
2009-03-29	S485122	F	Factor: 2305589701873738153