12 211 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
4231258033	10	32.0	old
13911161768275386965401	23	73.6	2008-08-29 02:24:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1612 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	F8BCAFDDAEF4C54F	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F8BCAFDDAEF4C54F	2	6584	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2F0DFA1B74AF3EFE	2	7025	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	2F0DFA1B74AF3EFE	2	10488	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=192/59, B1=430000000, B2=429570000000
2025-02-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12211/13911161768275386965401/4231258033 : 2F0DFA1B74AF3EFE
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=121982729876067060
2020-04-17	Oliver Kruse	C-PRP	M12211/4231258033/13911161768275386965401 : 2F0DFA1B74AF3EFE
2017-10-12	kkmrkkblmbrbk	C-PRP	M12211/4231258033/13911161768275386965401 : F8BCAFDDAEF4C54F
2017-09-21	Oliver Kruse	C-PRP	M12211/4231258033/13911161768275386965401 : F8BCAFDDAEF4C54F
2017-09-21	Oliver Kruse	C-PRP	M12211/4231258033/13911161768275386965401 : F8BCAFDDAEF4C54F
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 13911161768275386965401