41 611 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
75648799	8	26.2	old
1094649258809	13	40.0	2008-08-26 20:00:02
117693497314144206890358078668759	33	106.5	2016-08-30 02:11:06
25155571292925574952780656845282598137901783	44	144.2	2023-04-09 19:57:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	722 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 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	7218619FEFD086B5	3	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	7218619FEFD086B5	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	7218619FEFD086B5	3	12888	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2E9D05B7947A0820	3	27266	5	3
Verified	2023-04-09	JacobZ	2E9D05B7947A0820	4	33088	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-09	25155571292925574952780656845282598137901783	870000000	681726270675450

History

Date	User	Type	Result
2023-04-09	JacobZ	C-PRP	M41611/75648799/1094649258809/117693497314144206890358078668759/25155571292925574952780656845282598137901783 : 2E9D05B7947A0820 PRP: Verified PRP without proof (small exponent)
2023-04-09	JacobZ	F-PM1	Factor: 25155571292925574952780656845282598137901783 / (P-1, B1=870000000, B2=681726270675450)
2021-04-28	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M41611/75648799/1094649258809/117693497314144206890358078668759 : 2E9D05B7947A0820 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M41611/75648799/1094649258809/117693497314144206890358078668759 : 7218619FEFD086B5 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M41611/75648799/1094649258809/117693497314144206890358078668759 : 7218619FEFD086B5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M41611/75648799/1094649258809/117693497314144206890358078668759 : 7218619FEFD086B5 PRP without proof (not generated)
2016-09-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-08-30	kkmrkkblmbrbk	F-ECM	Factor: 117693497314144206890358078668759 / (ECM curve 497, B1=250000, B2=25000000)
2008-08-26	-Anonymous-	F	Factor: 1094649258809