3 045 739 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
13038059407207	14	43.6	old
751460769839122313	18	59.4	2015-11-17 12:24:33
19035596210705382411751	23	74.0	2022-02-05 08:19:00

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

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)	2017-09-30	alpertron	51995F67D36DCA8C	2	0	1	3
Verified (Factored)	2017-11-17	Oliver Kruse	51995F67D36DCA8C	2	605889	1	3
Verified	2022-02-11	Poao	3974E61928173027	3	452412	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-05	19035596210705382411751	1000000	119912100

History

Date	User	Type	Result
2022-10-07	Joss	NF-PM1	B1=1200000, B2=451528350
2022-09-04	Joss	NF-PM1	B1=1200000, B2=236513550
2022-03-12	LordJulius	NF	no factor from 2^66 to 2^67
2022-03-12	LordJulius	NF	no factor from 2^65 to 2^66
2022-03-12	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-12	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-12	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-12	LordJulius	NF	no factor from 2^60 to 2^62
2022-02-11	Jason B.	CERT	PRP Certification Proof certified good
2022-02-11	Poao	C-PRP	M3045739/13038059407207/751460769839122313/19035596210705382411751 : 3974E61928173027 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-05	Joss	F-PM1	Factor: 19035596210705382411751 / (P-1, B1=1000000, B2=119912100)
2021-09-17	Joss	NF	no factor from 2^67 to 2^68
2021-01-15	Joss	NF-PM1	B1=304573, B2=3045739, E=6
2017-11-17	Oliver Kruse	C-PRP	M3045739/13038059407207/751460769839122313 : 51995F67D36DCA8C PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M3045739/13038059407207/751460769839122313 : 51995F67D36DCA8C PRP: Verified (Factored) PRP without proof (not generated)
2015-11-17	TJAOI	F	Factor: 751460769839122313 / TF: 59-60