1 786 963 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
45846322729	11	35.4	old
2977441725667028167	19	61.4	2016-04-22 11:06:23
9402456965385359463047	22	73.0	2020-06-15 00:14:04
2451039765149444846421761	25	81.0	2020-11-06 10:16:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	6E04CCC667A1D47F	2	0	1	3
Verified (Factored)	2017-10-19	Oliver Kruse	6E04CCC667A1D47F	2	89256	1	3
Verified (Factored)	2020-06-15	riccardo uberti	1BEC7FFEA760E5F0	3	1692957	5	3
Verified (Factored)	2020-06-16	Luigi Morelli	1BEC7FFEA760E5F0	3	353760	5	3
Verified	2020-11-06	Oliver Kruse	1BEC7FFEA760E5F0	4	1166356	5	3

History

Date	User	Type	Result
2020-11-06	Bruno	CERT	PRP Certification Proof certified good
2020-11-06	Oliver Kruse	C-PRP	M1786963/45846322729/2977441725667028167/9402456965385359463047/2451039765149444846421761 : 1BEC7FFEA760E5F0 PRP proof power = 7 PRP: Verified Proof certified good
2020-11-06	TJAOI	F-ECM	Factor: 2451039765149444846421761 / (ECM curve 15, B1=50000, B2=5000000)
2020-06-16	Luigi Morelli	C-PRP	M1786963/45846322729/2977441725667028167/9402456965385359463047 : 1BEC7FFEA760E5F0 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-15	riccardo uberti	C-PRP	M1786963/45846322729/2977441725667028167/9402456965385359463047 : 1BEC7FFEA760E5F0 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-15	nordi	F-ECM	Factor: 9402456965385359463047 / (ECM curve 32, B1=50000, B2=5000000, Sigma=6792346581414246)
2017-10-19	Oliver Kruse	C-PRP	M1786963/45846322729/2977441725667028167 : 6E04CCC667A1D47F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1786963/2977441725667028167/45846322729 : 6E04CCC667A1D47F PRP: Verified (Factored) PRP without proof (not generated)
2016-04-22	TJAOI	F	Factor: 2977441725667028167 / TF: 61-62
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12