4 421 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
30735944006497	14	44.8	old
13504199546207911	17	53.6	old
14187764247178337	17	53.7	old
22507810327366543096486901897	29	94.2	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	15851 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 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	7616A46C3F0D5DFD	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7616A46C3F0D5DFD	4	0	1	3
Verified	2017-12-07	ATH	7616A46C3F0D5DFD	4	1213	1	3
Verified	2020-04-17	Oliver Kruse	B45CF72F1682620C	4	1727	5	3
Verified	2024-02-03	Wentao Huang	B45CF72F1682620C	4	3543	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : B45CF72F1682620C 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	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : B45CF72F1682620C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : 7616A46C3F0D5DFD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : 7616A46C3F0D5DFD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4421/known_factors : 7616A46C3F0D5DFD PRP without proof (not generated)