3 936 727 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1416543718452177641	19	60.3	2009-01-01 04:50:15
2542680988412771022521	22	71.1	2022-05-26 17:45:39

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	Shift
Verified (Factored)	1998-01-26	Soh Kok Hong	7D98BB85E98906AA	0
Verified (Factored)	1999-12-01	Rob Simons	7D98BB85E98906AA	2768285

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	81659F6303C264C5	1	0	1	3
Verified (Factored)	2017-12-30	Oliver Kruse	81659F6303C264C5	1	1531080	1	3
Verified	2022-06-03	Loic	70D58841F6D82E77	2	3198615	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-26	2542680988412771022521	100000	119860650

History

Date	User	Type	Result
2022-06-06	Ahmed Azhad	NF	no factor from 2^65 to 2^66
2022-06-06	Ahmed Azhad	NF	no factor from 2^64 to 2^65
2022-06-06	Ahmed Azhad	NF	no factor from 2^63 to 2^64
2022-06-06	Ahmed Azhad	NF	no factor from 2^61 to 2^63
2022-06-03	Rob Sartain	CERT	PRP Certification Proof certified good
2022-06-03	Loic	C-PRP	M3936727/1416543718452177641/2542680988412771022521 : 70D58841F6D82E77 PRP proof power = 7 PRP: Verified Proof certified good
2022-05-26	Joss	F-PM1	Factor: 2542680988412771022521 / (P-1, B1=100000, B2=119860650)
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-04	Joss	NF-PM1	B1=90000
2017-12-30	Oliver Kruse	C-PRP	M3936727/1416543718452177641 : 81659F6303C264C5 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3936727/1416543718452177641 : 81659F6303C264C5 PRP: Verified (Factored) PRP without proof (not generated)
2009-01-01	Architects Cubed	F	Factor: 1416543718452177641