186 859 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3087405745568399543	19	61.4	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	171 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	44511B5F61ADA9F6	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	44511B5F61ADA9F6	1	10539	1	3
Verified	2020-04-17	Oliver Kruse	F2EBE04B5079B2EB	1	245	5	3
Verified	2023-08-24	USAFSS	F2EBE04B5079B2EB	1	67590	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M186859/3087405745568399543 : F2EBE04B5079B2EB PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M186859/3087405745568399543 : F2EBE04B5079B2EB PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M186859/3087405745568399543 : 44511B5F61ADA9F6 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M186859/3087405745568399543 : 44511B5F61ADA9F6 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M186859/3087405745568399543 : 44511B5F61ADA9F6 PRP without proof (not generated)
2017-06-04	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12