1 311 259 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁰

Factored

Factor	Digits	Bits	Date
52429263099346706629921	23	75.5	2018-04-27 11:32:39
143617400373537380697959584489	30	96.9	2009-02-18 03:22:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 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	Software
Factored		Joel Armengaud	F86020380C562102	0	Windows,Prime95,v11,(aka WC)
Factored		Cornelius Caesar	F86020380C562102	0	Mac,John Sweeney,vLL1.0b1,(aka J4)
Factored		Brian J. Beesley	F86020380C562102	627620	Linux 32-bit,Prime95,v24 final,(aka Wc2)

Status	Proof	Date	User	Residue	Shift	Type	Base
Factored	Certified Good Power=6	2025-09-01	Kriesel	F84CE6ADAB97EE76	0	1	3

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-09-30	Oliver Kruse	B32685BD5196ED04	1	0	1	3
Factored	PRP without proof (not generated)	2017-10-23	kkmrkkblmbrbk	B32685BD5196ED04	1	1095312	1	3
Verified	PRP without proof (not generated)	2018-04-29	Oliver Kruse	F84CE6ADAB97EE76	2	1072062	5	3
Verified	PRP without proof (not generated)	2018-05-01	storm5510	F84CE6ADAB97EE76	2	594913	5	3

History

Date	User	Type	Result
2025-09-03	Oliver Kruse	CERT	Proof certified good
2025-09-01	Kriesel	C-PRP	F84CE6ADAB97EE76 Proof Certified Good Proof Power: 6
2022-03-07	LordJulius	NF	no factor TF: 58-60
2018-05-01	storm5510	C-PRP	M1311259/143617400373537380697959584489/52429263099346706629921 : F84CE6ADAB97EE76
2018-04-29	Oliver Kruse	C-PRP	M1311259/143617400373537380697959584489/52429263099346706629921 : F84CE6ADAB97EE76
2018-04-27	TJAOI	F-ECM	Factor: 52429263099346706629921
2017-10-23	kkmrkkblmbrbk	C-PRP	M1311259/143617400373537380697959584489 : B32685BD5196ED04
2017-09-30	Oliver Kruse	C-PRP	M1311259/143617400373537380697959584489 : B32685BD5196ED04
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2009-02-18	Sturle Sunde	F-ECM	Factor: 143617400373537380697959584489
2009-02-14	Sturle Sunde	NF	no factor TF: 60-61
2003-11-16	eteo	NF-PM1	B1=200000, B2=2000000, E=6
2003-06-17	-anonymous-	NF	no factor TF: 1-58
2001-11-03	-anonymous-	NF	no factor TF: 1-57