41 281 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5153147621733258688657	22	72.1	old
4378032431688941581746929	25	81.9	2009-04-22 01:33:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	726 / 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	2017-09-21	Oliver Kruse	69CEA30684A3CA06	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	69CEA30684A3CA06	2	0	1	3
Verified	2017-12-07	ATH	69CEA30684A3CA06	2	4836	1	3
Verified	2020-04-17	Oliver Kruse	4DA3AB41E1DDEFBC	2	10893	5	3
Verified	2024-07-01	kkmrkkblmbrbk	4DA3AB41E1DDEFBC	2	24432	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M41281/4378032431688941581746929/5153147621733258688657 : 4DA3AB41E1DDEFBC PRP: Verified PRP without proof (small exponent)
2023-04-08	JacobZ	NF-PM1	B1=880000000, B2=789367261292610
2021-12-22	Lisander Viaene	NF-PM1	B1=1000000000
2021-04-27	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M41281/5153147621733258688657/4378032431688941581746929 : 4DA3AB41E1DDEFBC PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M41281/5153147621733258688657/4378032431688941581746929 : 69CEA30684A3CA06 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M41281/5153147621733258688657/4378032431688941581746929 : 69CEA30684A3CA06 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M41281/known_factors : 69CEA30684A3CA06 PRP without proof (not generated)
2016-09-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-04-22	Matthias Wurtinger	F-ECM	Factor: 4378032431688941581746929