3 186 881 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
95606431	8	26.5	old
422356527078432638239	21	68.5	2018-09-04 23:44:07
1665250938381036935471	22	70.5	2020-08-28 01:16:52
766777100381366825794001263	27	89.3	2022-01-07 11:57:24

ECM

Digits	B1	Curves
25	50000	64 / 280

Estimated T-Level: 21.1 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-01	Oliver Kruse	9362E9C79F9A4912	1	2709606	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	9362E9C79F9A4912	1	2881657	5	3
Verified (Factored)	2018-09-06	Oliver Kruse	9362E9C79F9A4912	2	2746900	5	3
Verified (Factored)	2020-08-29	benthomas	9362E9C79F9A4912	3	2859334	5	3
Verified	2022-01-13	Joe S.	9362E9C79F9A4912	4	1628391	5	3

P-1 factors

Date	Factor	B1	B2
2020-08-28	1665250938381036935471	318688	3186881
2022-01-07	766777100381366825794001263	1050000	116447100

History

Date	User	Type	Result
2022-07-18	Joss	NF-PM1	B1=3186881, B2=3189160590
2022-07-15	Joss	NF-PM1	B1=3186881, B2=118249950
2022-03-21	Joss	NF-PM1	B1=1050000, B2=1001052360
2022-01-13	Umbrarian	CERT	PRP Certification Proof certified good
2022-01-13	Joe S.	C-PRP	M3186881/95606431/422356527078432638239/1665250938381036935471/766777100381366825794001263 : 9362E9C79F9A4912 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-07	Joss	F-PM1	Factor: 766777100381366825794001263 / (P-1, B1=1050000, B2=116447100)
2021-07-21	Joss	NF	no factor from 2^67 to 2^68
2020-08-29	Ben Delo	CERT	PRP Certification Proof certified good
2020-08-29	benthomas	C-PRP	M3186881/95606431/422356527078432638239/1665250938381036935471 : 9362E9C79F9A4912 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2020-08-28	Joss	F-PM1	Factor: 1665250938381036935471 / (P-1, B1=318688, B2=3186881, E=6)
2020-08-26	Joss	NF-PM1	B1=318688
2018-09-06	Oliver Kruse	C-PRP	M3186881/95606431/422356527078432638239 : 9362E9C79F9A4912 PRP: Verified (Factored) PRP without proof (not generated)
2018-09-04	Oliver Kruse	F-ECM	Factor: 422356527078432638239 / (ECM curve 3, B1=50000, B2=5000000)
2017-12-13	kkmrkkblmbrbk	C-PRP	M3186881/95606431 : 9362E9C79F9A4912 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3186881/95606431 : 9362E9C79F9A4912 PRP: Verified (Factored) PRP without proof (not generated)