3 309 437 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
219225224200275923593	21	67.6	2012-11-17 01:56:49

ECM

Digits	B1	Curves
25	50000	6 / 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)		Didier Couderc	5D153E8FC48C185E	0
Verified (Factored)	1999-07-04	Tom Delaney	5D153E8FC48C185E	1886287

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-04	Oliver Kruse	8C5EA2E89329B7BB	1	705558	5	3
Verified	2017-12-14	kkmrkkblmbrbk	8C5EA2E89329B7BB	1	524779	5	3

P-1 factors

Date	Factor	B1	B2
2012-11-17	219225224200275923593	205000	4612500

History

Date	User	Type	Result
2022-04-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-20	LordJulius	NF	no factor from 2^65 to 2^66
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
2022-04-20	LordJulius	NF	no factor from 2^1 to 2^62
2022-02-10	Joss	NF-PM1	B1=1000000, B2=119912100
2022-02-06	Joss	F	Factor: 219225224200275923593 / TF: 67-68
2021-01-05	Joss	NF-PM1	B1=330943, B2=3309437, E=6
2021-01-04	Joss	NF-PM1	B1=330943
2017-12-14	kkmrkkblmbrbk	C-PRP	M3309437/219225224200275923593 : 8C5EA2E89329B7BB PRP: Verified PRP without proof (not generated)
2017-11-04	Oliver Kruse	C-PRP	M3309437/219225224200275923593 : 8C5EA2E89329B7BB PRP: Verified PRP without proof (not generated)
2012-11-17	Squeeky_Squirrel	F-PM1	Factor: 219225224200275923593
2012-08-25	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-10-01	USAFSS	NF-PM1	B1=55000, B2=880000, E=6
2011-09-04	markr	NF	no factor to 2^62
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=195000
2009-04-01	S485122	NF	no factor from 2^60 to 2^61