4 221 209 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
327042714362023287630319	24	78.1	2013-09-16 00:32:43

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)		Daniel Buergin	257E6847C3D32AE7	0
Verified (Factored)	2000-02-09	MechEngrGATech	257E6847C3D32AE7	3701447

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	C3B164C5CBA55DB3	1	0	1	3
Verified	2018-01-22	Oliver Kruse	C3B164C5CBA55DB3	1	2859213	1	3

P-1 factors

Date	Factor	B1	B2
2013-09-16	327042714362023287630319	145000	0

History

Date	User	Type	Result
2023-03-07	USAFSS	NF-PM1	B1=224000, B2=135233670
2018-01-22	Oliver Kruse	C-PRP	M4221209/327042714362023287630319 : C3B164C5CBA55DB3 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4221209/327042714362023287630319 : C3B164C5CBA55DB3 PRP: Verified PRP without proof (not generated)
2013-09-16	Squeeky_Squirrel	F-PM1	Factor: 327042714362023287630319
2012-01-31	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-08-13	Squeeky_Squirrel	NF-PM1	B1=50000, B2=750000, E=6
2011-01-27	markr	NF	no factor from 2^61 to 2^62
2009-08-13	Carsten Kossendey	NF-PM1	B1=25000, B2=337500