95 369 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
297995890279	12	38.1	old
6488231547481	13	42.6	2008-08-26 20:11:49
123066877523881	15	46.8	2008-08-26 20:11:49
285927146845447	15	48.0	2008-08-26 20:11:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	548 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	78A4753C18A69F7B	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	78A4753C18A69F7B	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	78A4753C18A69F7B	4	28278	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F219F409CC4FD64E	4	89849	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F219F409CC4FD64E	4	48206	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M95369/297995890279/6488231547481/123066877523881/285927146845447 : F219F409CC4FD64E
2022-08-13	George Woltman	NF-PM1	B1=1000000000, B2=70541506035000
2021-04-29	nordi	NF-PP1	Start=6/5, B1=40000000, B2=2000000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2020-04-17	Oliver Kruse	C-PRP	M95369/297995890279/6488231547481/123066877523881/285927146845447 : F219F409CC4FD64E
2017-12-07	ATH	C-PRP	M95369/297995890279/6488231547481/123066877523881/285927146845447 : 78A4753C18A69F7B
2017-10-02	kkmrkkblmbrbk	C-PRP	M95369/297995890279/6488231547481/123066877523881/285927146845447 : 78A4753C18A69F7B
2017-09-21	Oliver Kruse	C-PRP	M95369/known_factors : 78A4753C18A69F7B
2017-01-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F	Factor: 285927146845447
2008-08-26	-anonymous-	F-PM1	Factor: 123066877523881
2008-08-26	-anonymous-	F	Factor: 6488231547481