3 137 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
2001407	7	20.9	old
20607799991	11	34.3	old
24300535196817193	17	54.4	old
3574068155905681942166392231	28	91.5	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	15076 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	3F31D2292EAB1152	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3F31D2292EAB1152	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3F31D2292EAB1152	4	1046	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6D8CD62D13D6F6B5	4	228	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6D8CD62D13D6F6B5	4	258	5	3

History

Date	User	Type	Result
2025-04-23	masser	NF-PP1	Start=166/71, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3137/2001407/20607799991/24300535196817193/3574068155905681942166392231 : 6D8CD62D13D6F6B5
2022-04-05	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3137/2001407/20607799991/24300535196817193/3574068155905681942166392231 : 6D8CD62D13D6F6B5
2017-12-07	ATH	C-PRP	M3137/2001407/20607799991/24300535196817193/3574068155905681942166392231 : 3F31D2292EAB1152
2017-10-02	kkmrkkblmbrbk	C-PRP	M3137/2001407/20607799991/24300535196817193/3574068155905681942166392231 : 3F31D2292EAB1152
2017-09-21	Oliver Kruse	C-PRP	M3137/known_factors : 3F31D2292EAB1152