4 241 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
9232535435842751715649	22	73.0	old
1091467794109218596191447	25	79.9	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	28815 / 40830

Estimated T-Level: 53.5 ⓘ

TF below 2^173 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	88905B0C37208404	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	88905B0C37208404	2	0	1	3
Verified	2017-12-07	ATH	88905B0C37208404	2	961	1	3
Verified	2020-04-17	Oliver Kruse	DD6701D7236136F5	2	220	5	3
Verified	2024-02-03	Wentao Huang	DD6701D7236136F5	2	2189	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4241/9232535435842751715649/1091467794109218596191447 : DD6701D7236136F5 PRP: Verified PRP without proof (small exponent)
2023-05-19	-Anonymous-	NF-PM1	B1=76000000000, B2=761666906426476050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4241/9232535435842751715649/1091467794109218596191447 : DD6701D7236136F5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4241/9232535435842751715649/1091467794109218596191447 : 88905B0C37208404 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4241/9232535435842751715649/1091467794109218596191447 : 88905B0C37208404 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4241/known_factors : 88905B0C37208404 PRP without proof (not generated)