4 651 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
440221842011689948657231	24	78.5	old
683156697639916947628867397010911	33	109.1	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	16212 / 40830

Estimated T-Level: 52.0 ⓘ

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	9768364C8F637EC8	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9768364C8F637EC8	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9768364C8F637EC8	2	3550	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8AA20D6C1C46CE6F	2	4168	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	8AA20D6C1C46CE6F	2	3100	5	3

History

Date	User	Type	Result
2025-05-19	masser	NF-PP1	Start=132/41, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M4651/440221842011689948657231/683156697639916947628867397010911 : 8AA20D6C1C46CE6F
2023-05-27	-anonymous-	NF-PM1	B1=68000000000, B2=682015465283852700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4651/440221842011689948657231/683156697639916947628867397010911 : 8AA20D6C1C46CE6F
2017-12-07	ATH	C-PRP	M4651/440221842011689948657231/683156697639916947628867397010911 : 9768364C8F637EC8
2017-10-02	kkmrkkblmbrbk	C-PRP	M4651/440221842011689948657231/683156697639916947628867397010911 : 9768364C8F637EC8
2017-09-21	Oliver Kruse	C-PRP	M4651/known_factors : 9768364C8F637EC8