4 441 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
26647	5	14.7	old
42654679125060943	17	55.2	old
457526550354762652159201699516105951217	39	128.4	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	18664 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	487C9535BAC5304F	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	487C9535BAC5304F	3	0	1	3
Verified	2017-12-07	ATH	487C9535BAC5304F	3	2990	1	3
Verified	2020-04-17	Oliver Kruse	E276C52C93309180	3	2774	5	3
Verified	2024-02-03	Wentao Huang	E276C52C93309180	3	863	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4441/26647/42654679125060943/457526550354762652159201699516105951217 : E276C52C93309180 PRP: Verified PRP without proof (small exponent)
2023-05-22	-Anonymous-	NF-PM1	B1=72000000000, B2=721841185927912050
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4441/26647/42654679125060943/457526550354762652159201699516105951217 : E276C52C93309180 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4441/26647/42654679125060943/457526550354762652159201699516105951217 : 487C9535BAC5304F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4441/26647/42654679125060943/457526550354762652159201699516105951217 : 487C9535BAC5304F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4441/known_factors : 487C9535BAC5304F PRP without proof (not generated)