1 948 981 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
67760419192863063769	20	65.9	2009-08-13 13:42:21
3320224119463224463874513431	28	91.4	2020-11-28 15:55:02
136024832417910327412283153609	30	96.8	2024-03-04 10:47:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	131 / 640

Estimated T-Level: 26.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Mischa Kenn	9318D8AED32483D6	0
Verified (Factored)	1999-03-15	Paul Derbyshire	9318D8AED32483D6	1083204

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	F02B6B839290C034	1	0	1	3
Verified (Factored)	2017-11-11	kkmrkkblmbrbk	F02B6B839290C034	1	1675059	1	3
Verified (Factored)	2020-11-28	mrh	06566B81271BEDC2	2	1490364	5	3
Verified	2024-03-04	Naegi Makoto	06566B81271BEDC2	3	893385	5	3

History

Date	User	Type	Result
2024-03-04	cswiger	CERT	PRP Certification Proof certified good
2024-03-04	Naegi Makoto	C-PRP	M1948981/67760419192863063769/3320224119463224463874513431/136024832417910327412283153609 : 06566B81271BEDC2 PRP proof power = 7 PRP: Verified Proof certified good
2024-03-04	TJAOI	F-ECM	Factor: 136024832417910327412283153609 / (ECM curve 23, B1=250000, B2=205401735, Sigma=3213792153401188)
2020-11-28	Ben Delo	CERT	PRP Certification Proof certified good
2020-11-28	mrh	C-PRP	M1948981/67760419192863063769/3320224119463224463874513431 : 06566B81271BEDC2 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2020-11-28	_p95holder_	F-ECM	Factor: 3320224119463224463874513431 / (ECM curve 2, B1=50000, B2=5000000)
2017-11-11	kkmrkkblmbrbk	C-PRP	M1948981/67760419192863063769 : F02B6B839290C034 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1948981/67760419192863063769 : F02B6B839290C034 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2009-08-13	SubPrime	F-ECM	Factor: 67760419192863063769