2 954 797 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
17728783	8	24.1	old
36109509683768015452033	23	74.9	2019-11-21 15:58:33
1604248385129102755147519	25	80.4	2023-02-27 14:05:31

ECM

Digits	B1	Curves
25	50000	105 / 280

Estimated T-Level: 21.9 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-26	Oliver Kruse	9E7D2C9F98E4F7BD	1	1949535	5	3
Verified (Factored)	2017-12-09	kkmrkkblmbrbk	9E7D2C9F98E4F7BD	1	369783	5	3
Verified (Factored)	2019-11-21	ATH	9E7D2C9F98E4F7BD	2	1699652	5	3
Verified	2023-03-05	Oliver Kruse	9E7D2C9F98E4F7BD	3	2211191	5	3

P-1 factors

Date	Factor	B1	B2
2019-11-21	36109509683768015452033	100000	1000000
2023-02-27	1604248385129102755147519	320000	243437040

History

Date	User	Type	Result
2023-03-05	curtisc	CERT	PRP Certification Proof certified good
2023-03-05	Oliver Kruse	C-PRP	M2954797/17728783/36109509683768015452033/1604248385129102755147519 : 9E7D2C9F98E4F7BD PRP proof power = 7 PRP: Verified Proof certified good
2023-02-27	USAFSS	F-PM1	Factor: 1604248385129102755147519 / (P-1, B1=320000, B2=243437040)
2019-11-21	ATH	C-PRP	M2954797/17728783/36109509683768015452033 : 9E7D2C9F98E4F7BD PRP: Verified (Factored) PRP without proof (not generated)
2019-11-21	Joss	F-PM1	Factor: 36109509683768015452033 / (P-1, B1=100000, B2=1000000, E=6)
2017-12-09	kkmrkkblmbrbk	C-PRP	M2954797/17728783 : 9E7D2C9F98E4F7BD PRP: Verified (Factored) PRP without proof (not generated)
2017-10-26	Oliver Kruse	C-PRP	M2954797/17728783 : 9E7D2C9F98E4F7BD PRP: Verified (Factored) PRP without proof (not generated)