515 861 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
514829279	9	28.9	old
6680184571652141315153	22	72.5	2015-06-12 09:30:04
18158493195028757447274293478967	32	103.8	2022-12-18 06:17:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	85E0AC36931BC59C	2	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	85E0AC36931BC59C	2	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	85E0AC36931BC59C	2	136984	1	3
Verified (Factored)	2020-04-19	Oliver Kruse	9372749488651463	2	149308	5	3
Verified	2022-12-18	Kevin_9611	9372749488651463	3	199738	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-18	18158493195028757447274293478967	2000000	6733146420

History

Date	User	Type	Result
2022-12-18	Thomas Sprenger	CERT	PRP Certification Proof certified good
2022-12-18	Kevin_9611	C-PRP	M515861/514829279/6680184571652141315153/18158493195028757447274293478967 : 9372749488651463 PRP proof power = 6 PRP: Verified Proof certified good
2022-12-18	USAFSS	F-PM1	Factor: 18158493195028757447274293478967 / (P-1, B1=2000000, B2=6733146420)
2020-04-19	Oliver Kruse	C-PRP	M515861/514829279/6680184571652141315153 : 9372749488651463 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-07	kkmrkkblmbrbk	C-PRP	M515861/514829279/6680184571652141315153 : 85E0AC36931BC59C PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M515861/514829279/6680184571652141315153 : 85E0AC36931BC59C PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M515861/514829279/6680184571652141315153 : 85E0AC36931BC59C PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12
2015-06-12	TJAOI	F-ECM	Factor: 6680184571652141315153 / (ECM curve 86, B1=50000, B2=5000000)