11 113 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2416185348361	13	41.1	old
478289312209597279	18	58.7	2008-08-29 02:24:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2804 / 9201

Estimated T-Level: 41.5 ⓘ

TF below 2^133 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	EF50D1169DF4D993	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	EF50D1169DF4D993	2	2343	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EA5963D69DFE7CBD	2	6109	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	EA5963D69DFE7CBD	2	7135	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=197/71, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-25	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11113/2416185348361/478289312209597279 : EA5963D69DFE7CBD
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11113/2416185348361/478289312209597279 : EA5963D69DFE7CBD
2017-10-12	kkmrkkblmbrbk	C-PRP	M11113/2416185348361/478289312209597279 : EF50D1169DF4D993
2017-09-21	Oliver Kruse	C-PRP	M11113/2416185348361/478289312209597279 : EF50D1169DF4D993
2017-09-21	Oliver Kruse	C-PRP	M11113/2416185348361/478289312209597279 : EF50D1169DF4D993
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 478289312209597279