3 793 457 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
53108399	8	25.7	old
3189531058687	13	41.5	2008-09-30 21:30:20
53455320701299026036147911161	29	95.4	2022-05-23 20:33:23

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)	2017-09-20	kkmrkkblmbrbk	B7BD913FD36E8EA0	2	0	1	3
Verified (Factored)	2017-12-09	Oliver Kruse	B7BD913FD36E8EA0	2	2823030	1	3
Verified	2022-05-31	Klaus Nordmann	664B90070FFEFB01	3	657162	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-23	53455320701299026036147911161	100000	130364850

History

Date	User	Type	Result
2022-10-04	Joss	NF-PM1	B1=1000000, B2=130364850
2022-05-31	lajo321	CERT	PRP Certification Proof certified good
2022-05-31	Klaus Nordmann	C-PRP	M3793457/53108399/3189531058687/53455320701299026036147911161 : 664B90070FFEFB01 PRP proof power = 7 PRP: Verified Proof certified good
2022-05-23	Joss	F-PM1	Factor: 53455320701299026036147911161 / (P-1, B1=100000, B2=130364850)
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-05	Joss	NF-PM1	B1=90000
2017-12-09	Oliver Kruse	C-PRP	M3793457/53108399/3189531058687 : B7BD913FD36E8EA0 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3793457/3189531058687/53108399 : B7BD913FD36E8EA0 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 3189531058687