11 411 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
803668354327	12	39.5	old
4871826404023553671395642665682479	34	111.9	2009-12-29 03:49:43
22344433313515075506346914384541946820850189727	47	154.0	2010-01-17 11:24:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2303 / 9201

Estimated T-Level: 41.3 ⓘ

TF below 2^132 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	554A436AB144A1D5	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	554A436AB144A1D5	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	554A436AB144A1D5	3	10225	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F181D9D7CF81561A	3	1282	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	F181D9D7CF81561A	3	1432	5	3

History

Date	User	Type	Result
2025-03-16	masser	NF-PP1	Start=185/59, B1=430000000, B2=429570000000
2025-03-03	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11411/22344433313515075506346914384541946820850189727/4871826404023553671395642665682479/803668354327 : F181D9D7CF81561A
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11411/803668354327/4871826404023553671395642665682479/22344433313515075506346914384541946820850189727 : F181D9D7CF81561A
2017-12-07	ATH	C-PRP	M11411/803668354327/4871826404023553671395642665682479/22344433313515075506346914384541946820850189727 : 554A436AB144A1D5
2017-10-02	kkmrkkblmbrbk	C-PRP	M11411/803668354327/4871826404023553671395642665682479/22344433313515075506346914384541946820850189727 : 554A436AB144A1D5
2017-09-21	Oliver Kruse	C-PRP	M11411/803668354327/4871826404023553671395642665682479/22344433313515075506346914384541946820850189727 : 554A436AB144A1D5
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-01-17	Never Odd Or Even	F-ECM	Factor: 22344433313515075506346914384541946820850189727
2009-12-29	Never Odd Or Even	F-ECM	Factor: 4871826404023553671395642665682479