4 157 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
6118909921509137	16	52.4	old
4703418220474714722673	22	72.0	old
50476826913711066101626583	26	85.4	old
99113662466478772809979281191	29	96.3	old
41161769340018076868666055145622172588108913	44	144.9	2020-09-30 15:28:19

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	16376 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	08B5F23BC47A8764	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	08B5F23BC47A8764	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	08B5F23BC47A8764	4	181	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8C77BD58CCE589A7	4	1112	5	3
Verified	No proof (small exponent)	2020-10-01	xyuzyz	8C77BD58CCE589A7	5	3196	5	3

History

Date	User	Type	Result
2025-05-11	masser	NF-PP1	Start=142/41, B1=2600000000, B2=2597400000000
2023-05-18	-anonymous-	NF-PM1	B1=78000000000, B2=782159992887753480
2020-10-01	xyuzyz	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191/41161769340018076868666055145622172588108913 : 8C77BD58CCE589A7
2020-09-30	Ryan Propper	F-ECM	Factor: 41161769340018076868666055145622172588108913
2020-04-17	Oliver Kruse	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191 : 8C77BD58CCE589A7
2019-02-16	Joss	NF-PM1	B1=100000000000
2019-02-11	Joss	NF-PM1	B1=20000000000
2019-02-11	Joss	NF-PM1	B1=10000000000
2019-02-10	Joss	NF-PM1	B1=1000000000
2017-12-07	ATH	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191 : 08B5F23BC47A8764
2017-10-02	kkmrkkblmbrbk	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191 : 08B5F23BC47A8764
2017-09-21	Oliver Kruse	C-PRP	M4157/known_factors : 08B5F23BC47A8764
2009-10-25	Carsten Kossendey	F-PM1	Factor: 4703418220474714722673