4 157 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

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	16301 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	08B5F23BC47A8764	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	08B5F23BC47A8764	4	0	1	3
Verified (Factored)	2017-12-07	ATH	08B5F23BC47A8764	4	181	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8C77BD58CCE589A7	4	1112	5	3
Verified	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 PRP: Verified PRP without proof (small exponent)
2020-09-30	Ryan Propper	F-ECM	Factor: 41161769340018076868666055145622172588108913 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=15512902750274620828)
2020-04-17	Oliver Kruse	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191 : 8C77BD58CCE589A7 PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4157/6118909921509137/4703418220474714722673/50476826913711066101626583/99113662466478772809979281191 : 08B5F23BC47A8764 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4157/known_factors : 08B5F23BC47A8764 PRP without proof (not generated)