1 824 269 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
458468600784549406991	21	68.6	2015-06-11 13:21:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Ken Kriesel	7749160561DC0E6C	0
Verified (Factored)	1999-03-01	Michael Croon	7749160561DC0E6C	383791

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	C5204A747285EAD4	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-04	Oliver Kruse	8DD48485A019947F	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	8DD48485A019947F	1	998714	1	3

P-1 factors

Date	Factor	B1	B2
2015-06-11	458468600784549406991	2780000	91760000

History

Date	User	Type	Result
2025-09-03	GiannisN5	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	C5204A747285EAD4 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-06	kkmrkkblmbrbk	C-PRP	M1824269/458468600784549406991 : 8DD48485A019947F PRP: Verified PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1824269/458468600784549406991 : 8DD48485A019947F PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-06-11	mikr	F-PM1	Factor: 458468600784549406991 / (P-1, B1=2780000, B2=91760000, E=12)
2015-04-25	snme2pm1	NF	no factor from 2^64 to 2^65
2015-04-25	snme2pm1	NF	no factor from 2^63 to 2^64
2014-09-22	Joss	NF-PM1	B1=170368
2014-05-19	Joss	NF-PM1	B1=135184
2011-02-07	Carsten Kossendey	NF-PM1	B1=100000, B2=1675000, E=6
2011-01-21	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-10	Architects Cubed	NF	no factor from 2^60 to 2^61