41 299 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
19990071928769	14	44.2	old
107885442607490753	18	56.6	2008-08-26 20:00:01
37646411294324260860727	23	75.0	2010-05-01 01:46:19
280759051146220095169172639393540057	36	117.8	2021-10-19 07:41:55
1259197291335405292286935454261803990737703	43	139.9	2023-04-09 00:33:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1165 / 4588

Estimated T-Level: 36.3 ⓘ

TF below 2^115 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	4122AE3EE3D1FCF6	3	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	4122AE3EE3D1FCF6	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	4122AE3EE3D1FCF6	3	15079	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D8EB366A9E2D293F	3	290	5	3
Verified (Factored)	2021-10-19	zr_zircon	D8EB366A9E2D293F	4	34067	5	3
Verified	2023-04-09	JacobZ	D8EB366A9E2D293F	5	7084	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-09	1259197291335405292286935454261803990737703	880000000	789367261292610

History

Date	User	Type	Result
2023-04-09	JacobZ	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727/280759051146220095169172639393540057/1259197291335405292286935454261803990737703 : D8EB366A9E2D293F PRP: Verified PRP without proof (small exponent)
2023-04-09	JacobZ	F-PM1	Factor: 1259197291335405292286935454261803990737703 / (P-1, B1=880000000, B2=789367261292610)
2021-12-22	Lisander Viaene	NF-PM1	B1=1000000000
2021-10-19	zr_zircon	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727/280759051146220095169172639393540057 : D8EB366A9E2D293F PRP: Verified PRP without proof (small exponent)
2021-10-19	debrouxl	F-ECM	Factor: 280759051146220095169172639393540057 / (ECM curve 189, B1=1000000, B2=100000000, Sigma=5816341968347865)
2021-04-27	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727 : D8EB366A9E2D293F PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727 : 4122AE3EE3D1FCF6 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727 : 4122AE3EE3D1FCF6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M41299/19990071928769/107885442607490753/37646411294324260860727 : 4122AE3EE3D1FCF6 PRP without proof (not generated)
2016-09-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-05-01	James Hintz	F-ECM	Factor: 37646411294324260860727
2008-08-26	-Anonymous-	F-ECM	Factor: 107885442607490753