3 066 829 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
746686327852937	15	49.4	old
205844541103269841	18	57.5	2015-06-25 11:30:48
2501544139964871547697	22	71.1	2021-12-18 22:19:21

ECM

Digits	B1	Curves
25	50000	88 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-28	Oliver Kruse	3A1621371017478C	2	738357	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	3A1621371017478C	2	956917	5	3
Verified	2021-12-24	mrh	3A1621371017478C	3	489530	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-18	2501544139964871547697	3066829	218031450

History

Date	User	Type	Result
2022-10-06	Joss	NF-PM1	B1=3066829, B2=435562050
2022-03-13	LordJulius	NF	no factor from 2^66 to 2^67
2022-03-13	LordJulius	NF	no factor from 2^65 to 2^66
2022-03-13	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-13	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-13	LordJulius	NF	no factor from 2^62 to 2^63
2022-01-12	Joss	NF	no factor from 2^68 to 2^69
2021-12-25	Keith Outwater	CERT	PRP Certification Proof certified good
2021-12-24	mrh	C-PRP	M3066829/746686327852937/205844541103269841/2501544139964871547697 : 3A1621371017478C PRP proof power = 7 PRP: Verified Proof certified good
2021-12-18	Joss	F-PM1	Factor: 2501544139964871547697 / (P-1, B1=3066829, B2=218031450)
2021-06-19	Joss	NF-PM1	B1=3066829
2021-06-09	Joss	NF	no factor from 2^67 to 2^68
2021-01-19	Joss	NF-PM1	B1=306682, B2=3066829, E=6
2017-12-11	kkmrkkblmbrbk	C-PRP	M3066829/746686327852937/205844541103269841 : 3A1621371017478C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-28	Oliver Kruse	C-PRP	M3066829/746686327852937/205844541103269841 : 3A1621371017478C PRP: Verified (Factored) PRP without proof (not generated)
2015-06-25	TJAOI	F	Factor: 205844541103269841 / TF: 57-58