2 411 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
19289	5	14.2	old
1393559	7	20.4	old
4185497	7	22.0	old
188923439365263033929	21	67.4	old
2080665358357882514154387257	28	90.7	old

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	40830 / 40830
60	260000000	62135 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^188 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	038FB97FB07742AA	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	038FB97FB07742AA	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	038FB97FB07742AA	5	651	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7C10FA3CD0E9C07B	5	1552	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	7C10FA3CD0E9C07B	5	2320	5	3

History

Date	User	Type	Result
2025-04-05	masser	NF-PP1	Start=172/13, B1=4400000000, B2=4395600000000
2024-05-04	masser	NF-PM1	B1=100000000000, B2=112223684912238900
2024-02-03	Wentao Huang	C-PRP	M2411/19289/1393559/4185497/188923439365263033929/2080665358357882514154387257 : 7C10FA3CD0E9C07B
2020-04-17	Oliver Kruse	C-PRP	M2411/19289/1393559/4185497/188923439365263033929/2080665358357882514154387257 : 7C10FA3CD0E9C07B
2017-12-07	ATH	C-PRP	M2411/19289/1393559/4185497/188923439365263033929/2080665358357882514154387257 : 038FB97FB07742AA
2017-10-02	kkmrkkblmbrbk	C-PRP	M2411/19289/1393559/4185497/188923439365263033929/2080665358357882514154387257 : 038FB97FB07742AA
2017-09-21	Oliver Kruse	C-PRP	M2411/known_factors : 038FB97FB07742AA
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F	Factor: 112507664259631847
2005-03-20	-anonymous-	F-ECM	Factor: 2080665358357882514154387257
2005-03-20	-anonymous-	F	Factor: 188923439365263033929
2005-03-20	-anonymous-	F	Factor: 112507664259631847