11 110 111 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
61944963838589697764447441	26	85.7	2017-12-04 13:55:52

ECM

Digits	B1	Curves
25	50000	245 / 280

Estimated T-Level: 24.4 ⓘ

TF below 2^76 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-11-25	Gerald Kilgus	48BD3E35680B6DEB	5524883
Verified (Factored)	2004-05-15	Jim Fensom	48BD3E35680B6DEB	421721

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-05-18	kutens	005FB1A3C2E62400	1	7710112	5	3

History

Date	User	Type	Result
2021-05-18	Quarkless	CERT	PRP Certification Proof certified good
2021-05-18	kutens	C-PRP	M11110111/61944963838589697764447441 : 005FB1A3C2E62400 PRP proof power = 8 PRP: Verified Proof certified good
2017-12-04	mikr	F-ECM	Factor: 61944963838589697764447441 / (ECM curve 95, B1=50000, B2=5000000)
2017-08-22	Numberwang	NF-PM1	B1=25000, B2=293750, e=6
2016-05-16	ramgeis	NF	no factor from 2^70 to 2^71
2015-09-08	ramgeis	NF	no factor from 2^69 to 2^70
2015-09-08	ramgeis	NF	no factor from 2^68 to 2^69
2015-09-08	ramgeis	NF	no factor from 2^67 to 2^68
2013-02-06	Richard B. Woods	NF	no factor from 2^66 to 2^67
2012-07-27	Richard B. Woods	NF	no factor from 2^65 to 2^66
2012-02-04	Richard B. Woods	NF	no factor from 2^64 to 2^65
2011-04-21	Never Odd Or Even	NF-PM1	B1=30000000
2011-04-16	Never Odd Or Even	NF-PM1	B1=15000000
2011-04-04	Never Odd Or Even	NF-PM1	B1=7000000
2011-03-31	Never Odd Or Even	NF-PM1	B1=1000000