3 243 769 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
20182730719	11	34.2	old
217955326649	12	37.7	2008-09-07 19:45:05
326972597549612846071	21	68.1	2025-01-16 08:50:45

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)	2017-11-02	Oliver Kruse	914EDE2550C15936	2	101373	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	914EDE2550C15936	2	2037970	5	3
Verified	2025-01-23	iucas	914EDE2550C15936	3	2823721	5	3

History

Date	User	Type	Result
2025-01-23	Jmaartvhesy	CERT	PRP Certification Proof certified good
2025-01-23	iucas	C-PRP	M3243769/20182730719/217955326649/326972597549612846071 : 914EDE2550C15936 PRP proof power = 7 PRP: Verified Proof certified good
2025-01-16	TJAOI	F	Factor: 326972597549612846071 / TF: 38-69
2022-09-11	Joss	NF-PM1	B1=1000000, B2=241175550
2022-04-05	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-05	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-05	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-05	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-05	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-10	Joss	NF-PM1	B1=1000000, B2=134343300
2021-10-02	Joss	NF	no factor from 2^67 to 2^68
2020-10-31	Ethan O'Connor	NF	no factor from 2^61 to 2^62
2020-10-31	Ethan O'Connor	NF	no factor from 2^60 to 2^61
2020-10-31	Ethan O'Connor	NF	no factor from 2^59 to 2^60
2020-08-21	Joss	NF-PM1	B1=324376, B2=3243769, E=6
2020-08-20	Joss	NF-PM1	B1=324376
2017-12-13	kkmrkkblmbrbk	C-PRP	M3243769/20182730719/217955326649 : 914EDE2550C15936 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-02	Oliver Kruse	C-PRP	M3243769/20182730719/217955326649 : 914EDE2550C15936 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 217955326649