3 701 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
111031	6	16.8	old
318287	6	18.3	old
1561823	7	20.6	old
2941578952727	13	41.4	old
228898605233001999017	21	67.6	old
1097546455097058685444886539645850839643590968378791	52	169.6	2019-12-06 15:09:27

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	13719 / 40830

Estimated T-Level: 51.7 ⓘ

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

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	FC48A60AC898CF49	5	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	FC48A60AC898CF49	5	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	FC48A60AC898CF49	5	1775	1	3
Verified	No proof (small exponent)	2019-12-07	xyuzyz	22E65E28CF99682D	6	3500	5	3
Verified	No proof (small exponent)	2019-12-08	GAN	22E65E28CF99682D	6	1756	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	22E65E28CF99682D	6	1694	5	3

History

Date	User	Type	Result
2024-03-30	masser	NF-PM1	B1=77000000000, B2=122598431474418900
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2021-08-23	H Michaelson	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M3701/111031/318287/1561823/2941578952727/228898605233001999017/1097546455097058685444886539645850839643590968378791 : 22E65E28CF99682D
2019-12-08	GAN	C-PRP	M3701/111031/318287/1561823/2941578952727/228898605233001999017/1097546455097058685444886539645850839643590968378791 : 22E65E28CF99682D
2019-12-07	xyuzyz	C-PRP	M3701/111031/318287/1561823/2941578952727/228898605233001999017/1097546455097058685444886539645850839643590968378791 : 22E65E28CF99682D
2019-12-06	Ryan Propper	F-ECM	Factor: 1097546455097058685444886539645850839643590968378791
2017-12-07	ATH	C-PRP	M3701/111031/318287/1561823/2941578952727/228898605233001999017 : FC48A60AC898CF49
2017-10-02	kkmrkkblmbrbk	C-PRP	M3701/111031/318287/1561823/2941578952727/228898605233001999017 : FC48A60AC898CF49
2017-09-21	Oliver Kruse	C-PRP	M3701/known_factors : FC48A60AC898CF49
2009-10-25	Carsten Kossendey	F	Factor: 55194393595984231