12 959 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
25919	5	14.7	old
570507017	9	29.1	2008-08-26 19:58:39
636649753	9	29.2	2008-08-26 19:58:39
163305952996107319	18	57.2	2008-08-26 19:58:39
9475701126832300471	19	63.0	2008-08-26 19:58:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1585 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	B205776537C9C3CD	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B205776537C9C3CD	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B205776537C9C3CD	5	5924	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	44D900E5E5A0FC94	5	11408	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	44D900E5E5A0FC94	1	2822	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	44D900E5E5A0FC94	5	8539	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=170/41, B1=430000000, B2=429570000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12959/163305952996107319/25919/570507017/636649753/9475701126832300471 : 44D900E5E5A0FC94
2023-10-10	Anton Repko	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-05-12	Jorge Coveiro	C-PRP	M12959/25919 : 44D900E5E5A0FC94
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M12959/25919/570507017/636649753/163305952996107319/9475701126832300471 : 44D900E5E5A0FC94
2017-12-07	ATH	C-PRP	M12959/25919/570507017/636649753/163305952996107319/9475701126832300471 : B205776537C9C3CD
2017-10-02	kkmrkkblmbrbk	C-PRP	M12959/25919/570507017/636649753/163305952996107319/9475701126832300471 : B205776537C9C3CD
2017-09-21	Oliver Kruse	C-PRP	M12959/25919/570507017/636649753/163305952996107319/9475701126832300471 : B205776537C9C3CD
2008-08-26	-anonymous-	F-ECM	Factor: 9475701126832300471
2008-08-26	-anonymous-	F-ECM	Factor: 163305952996107319
2008-08-26	-anonymous-	F	Factor: 636649753
2008-08-26	-anonymous-	F	Factor: 570507017