36 299 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
290393	6	18.1	old
627246721	9	29.2	2008-08-26 19:59:37
402091355399	12	38.5	2008-08-26 19:59:37
12290825783127284218638153461427977	35	113.2	2019-12-03 07:28:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1954 / 4588

Estimated T-Level: 37.1 ⓘ

TF below 2^118 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	FAFCA24998C258B4	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	FAFCA24998C258B4	3	12741	1	3
Verified	2019-12-04	xyuzyz	E0972A6CB374D3F3	4	747	5	3
Verified	2019-12-04	_p95holder_	E0972A6CB374D3F3	4	28390	5	3
Verified	2019-12-04	marssystems	E0972A6CB374D3F3	4	35192	5	3

History

Date	User	Type	Result
2022-04-30	nordi	NF-PM1	B1=2000000000, B2=406427480028570
2022-04-08	nordi	NF-PM1	B1=2000000000
2021-05-11	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2019-12-04	marssystems	C-PRP	M36299/290393/627246721/402091355399/12290825783127284218638153461427977 : E0972A6CB374D3F3 PRP: Verified PRP without proof (small exponent)
2019-12-04	_p95holder_	C-PRP	M36299/290393/627246721/402091355399/12290825783127284218638153461427977 : E0972A6CB374D3F3 PRP: Verified PRP without proof (small exponent)
2019-12-04	xyuzyz	C-PRP	M36299/290393/627246721/402091355399/12290825783127284218638153461427977 : E0972A6CB374D3F3 PRP: Verified PRP without proof (small exponent)
2019-12-03	Niels_Mache_Nextcloud	F-ECM	Factor: 12290825783127284218638153461427977 / (ECM curve 3, B1=1000000, B2=100000000, Sigma=6324278949359957)
2017-10-12	kkmrkkblmbrbk	C-PRP	M36299/290393/627246721/402091355399 : FAFCA24998C258B4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M36299/290393/627246721/402091355399 : FAFCA24998C258B4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M36299/290393/627246721/402091355399 : FAFCA24998C258B4 PRP without proof (not generated)
2016-10-28	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 402091355399
2008-08-26	-Anonymous-	F	Factor: 627246721