4 421 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	15882 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	7616A46C3F0D5DFD	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7616A46C3F0D5DFD	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	7616A46C3F0D5DFD	4	1213	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B45CF72F1682620C	4	1727	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B45CF72F1682620C	4	3543	5	3
Verified	No proof (small exponent)	2025-10-06	Dobri	B45CF72F1682620C	4	1629	5	3

History

Date	User	Type	Result
2025-10-06	Dobri	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : B45CF72F1682620C
2025-05-15	masser	NF-PP1	Start=87/53, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : B45CF72F1682620C
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
2017-12-07	ATH	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : 7616A46C3F0D5DFD
2017-10-02	kkmrkkblmbrbk	C-PRP	M4421/30735944006497/13504199546207911/14187764247178337/22507810327366543096486901897 : 7616A46C3F0D5DFD
2017-09-21	Oliver Kruse	C-PRP	M4421/known_factors : 7616A46C3F0D5DFD
2009-10-25	Carsten Kossendey	F	Factor: 30735944006497
1999-04-02	-anonymous-	F	Factor: 30735944006497