4 649 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
595073	6	19.2	old
273314711	9	28.0	old
39780961181519754363553004923217892363193	41	134.9	2009-04-27 22:26:42
7006130506071434809798030810049709329823839	43	142.3	2021-03-29 23:01:15
10838912240001738121292882752888840244249432063	47	152.9	2021-03-30 02:43:59

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	14009 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	D9E0657A21AF32A5	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D9E0657A21AF32A5	3	0	1	3
Verified (Factored)	2017-12-07	ATH	D9E0657A21AF32A5	3	1426	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	811B34D7F1B6F5D0	3	4245	5	3
Verified	2021-03-30	mnd9	811B34D7F1B6F5D0	5	3085	5	3
Verified (Factored)	2021-03-30	rbanov	811B34D7F1B6F5D0	4	1499	5	3
Verified	2021-04-01	Joe S.	811B34D7F1B6F5D0	5	1592	5	3

History

Date	User	Type	Result
2023-05-26	-Anonymous-	NF-PM1	B1=68000000000, B2=682015465283852700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-04-01	Joe S.	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193/7006130506071434809798030810049709329823839/10838912240001738121292882752888840244249432063 : 811B34D7F1B6F5D0 PRP: Verified PRP without proof (small exponent)
2021-03-30	rbanov	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193/7006130506071434809798030810049709329823839 : 811B34D7F1B6F5D0 PRP: Verified PRP without proof (small exponent)
2021-03-30	mnd9	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193/7006130506071434809798030810049709329823839/10838912240001738121292882752888840244249432063 : 811B34D7F1B6F5D0 PRP: Verified PRP without proof (small exponent)
2021-03-30	Ryan Propper	F-ECM	Factor: 10838912240001738121292882752888840244249432063 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=6586546847571165000)
2021-03-29	Ryan Propper	F-ECM	Factor: 7006130506071434809798030810049709329823839 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=5651563127864870149)
2020-04-17	Oliver Kruse	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193 : 811B34D7F1B6F5D0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193 : D9E0657A21AF32A5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4649/595073/273314711/39780961181519754363553004923217892363193 : D9E0657A21AF32A5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4649/known_factors : D9E0657A21AF32A5 PRP without proof (not generated)
2009-04-27	unconnected	F-ECM	Factor: 39780961181519754363553004923217892363193