2 111 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
341983	6	18.4	old
207314882478786823922863639	27	87.4	old
572960234633601834721025783018386320792917644317932329	54	178.6	2019-10-15 20:18:55

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	63693 / 105362

Estimated T-Level: 58.0 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	4034B162E50019E8	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	4034B162E50019E8	2	265	1	3
Verified	No proof (small exponent)	2019-10-16	Niels_Mache_Nextcloud	A49B56F10D4767AD	3	1882	5	3
Verified	No proof (small exponent)	2019-10-17	loader3229	A49B56F10D4767AD	3	1486	5	3
Verified	No proof (small exponent)	2019-10-17	marssystems	A49B56F10D4767AD	3	206	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A49B56F10D4767AD	3	95	5	3

History

Date	User	Type	Result
2025-03-31	masser	NF-PP1	Start=75/41, B1=5300000000, B2=5294700000000
2024-04-21	masser	NF-PM1	B1=100000000000, B2=6400140874807680
2020-04-17	Oliver Kruse	C-PRP	M2111/341983/207314882478786823922863639/572960234633601834721025783018386320792917644317932329 : A49B56F10D4767AD
2019-10-17	marssystems	C-PRP	M2111/341983/207314882478786823922863639/572960234633601834721025783018386320792917644317932329 : A49B56F10D4767AD
2019-10-17	loader3229	C-PRP	M2111/341983/207314882478786823922863639/572960234633601834721025783018386320792917644317932329 : A49B56F10D4767AD
2019-10-16	Niels_Mache_Nextcloud	C-PRP	M2111/341983/207314882478786823922863639/572960234633601834721025783018386320792917644317932329 : A49B56F10D4767AD
2019-10-15	Ryan Propper	F-ECM	Factor: 572960234633601834721025783018386320792917644317932329
2017-10-12	kkmrkkblmbrbk	C-PRP	M2111/341983/207314882478786823922863639 : 4034B162E50019E8
2017-09-21	Oliver Kruse	C-PRP	M2111/341983/207314882478786823922863639 : 4034B162E50019E8
2017-09-21	Oliver Kruse	C-PRP	M2111/341983/207314882478786823922863639 : 4034B162E50019E8
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12