4 854 391 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
71325761138641	14	46.0	old
75744236573132187649	20	66.0	2019-07-01 21:58:25
143420965486257695225967121	27	86.9	2023-08-08 12:37:23

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	D08D4232A4ED6B14	1	0	1	3
Verified (Factored)	2018-03-30	Oliver Kruse	D08D4232A4ED6B14	1	2684568	1	3
Verified (Factored)	2019-07-03	_p95holder_	38CBDB0A6368DA30	2	1985327	5	3
Verified (Factored)	2019-07-05	arnaud	38CBDB0A6368DA30	2	597351	5	3
Verified	2023-08-08	Naegi Makoto	38CBDB0A6368DA30	3	2502781	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-08	143420965486257695225967121	256000	105522060

History

Date	User	Type	Result
2023-08-08	LOBES	CERT	PRP Certification Proof certified good
2023-08-08	Naegi Makoto	C-PRP	M4854391/71325761138641/75744236573132187649/143420965486257695225967121 : 38CBDB0A6368DA30 PRP proof power = 7 PRP: Verified Proof certified good
2023-08-08	USAFSS	F-PM1	Factor: 143420965486257695225967121 / (P-1, B1=256000, B2=105522060)
2019-07-05	arnaud	C-PRP	M4854391/71325761138641/75744236573132187649 : 38CBDB0A6368DA30 PRP: Verified (Factored) PRP without proof (not generated)
2019-07-03	_p95holder_	C-PRP	M4854391/71325761138641/75744236573132187649 : 38CBDB0A6368DA30 PRP: Verified (Factored) PRP without proof (not generated)
2019-07-01	ATH	F-ECM	Factor: 75744236573132187649 / (ECM curve 2, B1=50000, B2=5000000, Sigma=3964057202316062)
2018-03-30	Oliver Kruse	C-PRP	M4854391/71325761138641 : D08D4232A4ED6B14 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4854391/71325761138641 : D08D4232A4ED6B14 PRP: Verified (Factored) PRP without proof (not generated)