3 556 493 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1906280249	10	30.8	old
576351029609	12	39.1	2008-09-07 19:49:58
2862265566401	13	41.4	2008-09-30 21:29:32
33843074077567253833991	23	74.8	2022-03-15 18:24:55

ECM

Digits	B1	Curves
25	50000	141 / 280

Estimated T-Level: 22.5 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-09	Oliver Kruse	6F1082F5B6596129	3	2850446	5	3
Verified (Factored)	2017-12-18	kkmrkkblmbrbk	6F1082F5B6596129	3	619621	5	3
Verified	2022-03-20	riccardo uberti	6F1082F5B6596129	4	1651321	5	3

P-1 factors

Date	Factor	B1	B2
2022-03-15	33843074077567253833991	1000000	147632100

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=1355649, B2=561724800
2022-09-03	Joss	NF-PM1	B1=1355649, B2=217278600
2022-04-18	riccardo uberti	NF-PP1	Start=6/5, B1=5750000, B2=120000000
2022-04-01	riccardo uberti	NF-PP1	Start=2/7, B1=5000000, B2=100000000
2022-03-25	riccardo uberti	NF-PM1	B1=5000000, B2=22835196930
2022-03-20	curtisc	CERT	PRP Certification Proof certified good
2022-03-20	riccardo uberti	C-PRP	M3556493/1906280249/576351029609/2862265566401/33843074077567253833991 : 6F1082F5B6596129 PRP proof power = 7 PRP: Verified Proof certified good
2022-03-15	Joss	NF	no factor from 2^67 to 2^68
2022-03-15	Joss	F-PM1	Factor: 33843074077567253833991 / (P-1, B1=1000000, B2=147632100)
2017-12-18	kkmrkkblmbrbk	C-PRP	M3556493/1906280249/576351029609/2862265566401 : 6F1082F5B6596129 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-09	Oliver Kruse	C-PRP	M3556493/1906280249/576351029609/2862265566401 : 6F1082F5B6596129 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 2862265566401
2008-09-07	Will Edgington	F	Factor: 576351029609