3 767 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
30137	5	14.9	old
50455199	8	25.6	old
2467754167	10	31.2	old
8943340177	10	33.1	old
1510490944271	13	40.5	old
531308328804223	15	48.9	old
337116294660910764115481	24	78.2	old
4197971989500734624860656474959277767502603353	46	151.6	2013-01-26 13:14:29

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	16350 / 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	709B802BCDCC8C50	8	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	709B802BCDCC8C50	8	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	709B802BCDCC8C50	8	2217	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	CF26420F8499C591	8	3584	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	CF26420F8499C591	8	2964	5	3

History

Date	User	Type	Result
2025-05-05	masser	NF-PP1	Start=199/17, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M3767/30137/50455199/2467754167/8943340177/1510490944271/531308328804223/337116294660910764115481/4197971989500734624860656474959277767502603353 : CF26420F8499C591
2023-04-04	-anonymous-	NF-PM1	B1=4000000000000, B2=8900960827666247340
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3767/30137/50455199/2467754167/8943340177/1510490944271/531308328804223/337116294660910764115481/4197971989500734624860656474959277767502603353 : CF26420F8499C591
2017-12-07	ATH	C-PRP	M3767/30137/50455199/2467754167/8943340177/1510490944271/531308328804223/337116294660910764115481/4197971989500734624860656474959277767502603353 : 709B802BCDCC8C50
2017-10-02	kkmrkkblmbrbk	C-PRP	M3767/30137/50455199/2467754167/8943340177/1510490944271/531308328804223/337116294660910764115481/4197971989500734624860656474959277767502603353 : 709B802BCDCC8C50
2017-09-21	Oliver Kruse	C-PRP	M3767/known_factors : 709B802BCDCC8C50
2013-01-26	Never Odd Or Even	F-ECM	Factor: 4197971989500734624860656474959277767502603353
2009-10-25	Carsten Kossendey	F-PM1	Factor: 50690399227208796693574144033632460820128607