5 653 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
71199037537	11	36.1	old
46876037864231	14	45.4	old
243961562458195079	18	57.8	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	6353 / 16550

Estimated T-Level: 46.9 ⓘ

TF below 2^151 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	43A428B752F92D6F	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	43A428B752F92D6F	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	43A428B752F92D6F	3	3556	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3E13C1534B89282D	3	159	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3E13C1534B89282D	3	3942	5	3

History

Date	User	Type	Result
2025-05-21	masser	NF-PP1	Start=197/47, B1=2100000000, B2=2097900000000
2024-11-04	mikr	NF-PM1	B1=500000000000, B2=1405366866901097100
2024-02-03	Wentao Huang	C-PRP	M5653/71199037537/46876037864231/243961562458195079 : 3E13C1534B89282D
2023-07-16	-anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5653/71199037537/46876037864231/243961562458195079 : 3E13C1534B89282D
2017-12-07	ATH	C-PRP	M5653/71199037537/46876037864231/243961562458195079 : 43A428B752F92D6F
2017-10-02	kkmrkkblmbrbk	C-PRP	M5653/71199037537/46876037864231/243961562458195079 : 43A428B752F92D6F
2017-09-21	Oliver Kruse	C-PRP	M5653/known_factors : 43A428B752F92D6F
1999-04-23	-anonymous-	F	Factor: 46876037864231