286 633 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
1719799	7	20.7	old
44248682743	11	35.4	2008-07-21 09:15:56
51410273204343727	17	55.5	2014-09-05 15:16:30
95162603363930909951	20	66.4	2014-09-05 15:16:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	206 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 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	0216E526A424508B	4	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	0216E526A424508B	4	529	1	3
Verified	2020-04-17	Oliver Kruse	E80F8A604C73AF62	4	213806	5	3
Verified	2024-08-13	kkmrkkblmbrbk	E80F8A604C73AF62	4	65802	5	3

History

Date	User	Type	Result
2024-11-13	yuriy_5-1	NF-PM1	B1=26370236, B2=6442766380050
2024-08-13	Luke Durant	CERT	PRP Certification Proof certified good
2024-08-13	kkmrkkblmbrbk	C-PRP	M286633/1719799/44248682743/51410273204343727/95162603363930909951 : E80F8A604C73AF62 PRP proof power = 5 PRP: Verified Proof certified good
2023-02-17	USAFSS	NF-PM1	B1=4000000, B2=22109179950
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2021-04-22	nordi	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M286633/1719799/44248682743/51410273204343727/95162603363930909951 : E80F8A604C73AF62 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M286633/1719799/44248682743/51410273204343727/95162603363930909951 : 0216E526A424508B PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M286633/known_factors : 0216E526A424508B PRP without proof (not generated)
2014-09-05	TJAOI	F-ECM	Factor: 95162603363930909951
2014-09-05	TJAOI	F-ECM	Factor: 51410273204343727
2008-07-21	J Feitsma	F	Factor: 44248682743