3 719 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
4351231	7	22.1	old
9490889	7	23.2	old
45360876374689	14	45.4	old
35974516442077422910264414374622922491504602343927	50	164.6	2019-11-19 19:25:50

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	14667 / 40830

Estimated T-Level: 51.8 ⓘ

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	21829D933A957A5E	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	21829D933A957A5E	3	621	1	3
Verified	No proof (small exponent)	2019-11-20	nordi	44084632E79806A8	4	2042	5	3
Verified	No proof (small exponent)	2019-11-25	ANONYMOUS	44084632E79806A8	4	3179	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	44084632E79806A8	4	1674	5	3

History

Date	User	Type	Result
2025-05-04	masser	NF-PP1	Start=101/29, B1=2600000000, B2=2597400000000
2024-06-10	masser	NF-PM1	B1=77000000000, B2=616077002060520
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
2019-11-25	ANONYMOUS	C-PRP	M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
2019-11-20	nordi	C-PRP	M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
2019-11-19	Ryan Propper	F-ECM	Factor: 35974516442077422910264414374622922491504602343927
2017-10-12	kkmrkkblmbrbk	C-PRP	M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
2017-09-21	Oliver Kruse	C-PRP	M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
2017-09-21	Oliver Kruse	C-PRP	M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
2009-10-25	Carsten Kossendey	F	Factor: 41297050434359