3 186 133 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
13381758601	11	33.6	old
30568378830476667387231706687	29	94.6	2022-02-27 01:57:33

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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)	2017-11-01	Oliver Kruse	AA2020ED4687AF08	1	1014135	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	AA2020ED4687AF08	1	1032805	5	3
Verified	2022-03-01	LordJulius	AA2020ED4687AF08	2	2424928	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-27	30568378830476667387231706687	1000000	134343300

History

Date	User	Type	Result
2022-09-03	Joss	NF-PM1	B1=1274453, B2=236513550
2022-03-01	querwurzel	CERT	PRP Certification Proof certified good
2022-03-01	LordJulius	C-PRP	M3186133/13381758601/30568378830476667387231706687 : AA2020ED4687AF08 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-27	Joss	F-PM1	Factor: 30568378830476667387231706687 / (P-1, B1=1000000, B2=134343300)
2021-05-10	Joss	NF	no factor from 2^67 to 2^68
2021-01-07	Joss	NF-PM1	B1=318613, B2=3186133, E=6
2021-01-07	Joss	NF-PM1	B1=318613
2017-12-13	kkmrkkblmbrbk	C-PRP	M3186133/13381758601 : AA2020ED4687AF08 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3186133/13381758601 : AA2020ED4687AF08 PRP: Verified (Factored) PRP without proof (not generated)