3 779 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 8 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
7559	4	12.9	old
2086009	7	21.0	old
6084191	7	22.5	old
274476660553	12	38.0	old
5086072485847	13	42.2	old
6306850735777	13	42.5	old
3476227576267836521	19	61.6	old
2078022893280176212649	22	70.8	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	18464 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	D4A31873667FC3F9	8	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D4A31873667FC3F9	8	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D4A31873667FC3F9	8	1403	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	06DE732A8BA4C575	8	3493	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	06DE732A8BA4C575	1	2256	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	06DE732A8BA4C575	8	3410	5	3

History

Date	User	Type	Result
2025-05-05	masser	NF-PP1	Start=191/59, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M3779/7559/2086009/6084191/274476660553/5086072485847/6306850735777/3476227576267836521/2078022893280176212649 : 06DE732A8BA4C575
2023-04-04	-anonymous-	NF-PM1	B1=4000000000000, B2=8900960827666247340
2022-05-12	Jorge Coveiro	C-PRP	M3779/7559 : 06DE732A8BA4C575
2021-12-23	mikr	NF-PM1	B1=40000000000, B2=131102668328101470
2021-11-19	mikr	NF-PM1	B1=40000000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3779/7559/2086009/6084191/274476660553/5086072485847/6306850735777/3476227576267836521/2078022893280176212649 : 06DE732A8BA4C575
2017-12-07	ATH	C-PRP	M3779/7559/2086009/6084191/274476660553/5086072485847/6306850735777/3476227576267836521/2078022893280176212649 : D4A31873667FC3F9
2017-10-02	kkmrkkblmbrbk	C-PRP	M3779/7559/2086009/6084191/274476660553/5086072485847/6306850735777/3476227576267836521/2078022893280176212649 : D4A31873667FC3F9
2017-09-21	Oliver Kruse	C-PRP	M3779/known_factors : D4A31873667FC3F9
2009-10-25	Carsten Kossendey	F-PM1	Factor: 577310606839277128991475318067538048996721952086675817402721