1 941 293 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
23736739793493551470103	23	74.3	2015-06-09 18:20:01
2936385892048504850393770999	28	91.2	2024-03-18 10:25:13
198517270663535423148571096434361	33	107.3	2015-09-24 11:33:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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
Verified (Factored)		Bruce Appleby	BB67B7774A0EA1E2	0
Verified (Factored)	1999-01-10	Stephen Wood	BB67B7774A0EA1E2	1465997

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	8176057C9DBD088F	2	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	8176057C9DBD088F	2	987715	1	3
Verified	2024-03-18	Naegi Makoto	20D4E211C11D2B21	3	1638766	5	3

P-1 factors

Date	Factor	B1	B2
2015-09-24	198517270663535423148571096434361	500000	15000000

History

Date	User	Type	Result
2024-03-18	Ernie_and_Bert	CERT	PRP Certification Proof certified good
2024-03-18	Naegi Makoto	C-PRP	M1941293/23736739793493551470103/2936385892048504850393770999/198517270663535423148571096434361 : 20D4E211C11D2B21 PRP proof power = 7 PRP: Verified Proof certified good
2024-03-18	TJAOI	F-ECM	Factor: 2936385892048504850393770999 / (ECM curve 17, B1=250000, B2=40000000, Sigma=6582320435057559)
2017-11-15	kkmrkkblmbrbk	C-PRP	M1941293/23736739793493551470103/198517270663535423148571096434361 : 8176057C9DBD088F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1941293/23736739793493551470103/198517270663535423148571096434361 : 8176057C9DBD088F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1941293/23736739793493551470103/198517270663535423148571096434361 : 8176057C9DBD088F PRP without proof (not generated)
2015-09-24	alpertron	F-PM1	Factor: 198517270663535423148571096434361 / (P-1, B1=500000, B2=15000000, E=12)
2015-06-09	guru	F-ECM	Factor: 23736739793493551470103 / (ECM curve 1, B1=50000, B2=5000000)
2015-05-20	monst	NF	no factor from 2^64 to 2^65
2015-05-20	monst	NF	no factor from 2^63 to 2^64
2011-12-11	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-08-27	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-01-27	S485122	NF	no factor from 2^60 to 2^61