2 174 723 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
102043013299997114887369	24	76.4	2016-06-22 14:25:34
1002258823750195778769487	25	79.7	2023-09-04 02:11:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	164 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		phil kenny	9A932A0DF65D96E6	0
Verified (Factored)	1999-02-21	Ulug Unligil	9A932A0DF65D96E6	2069475

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-10	kkmrkkblmbrbk	F1DC6356BFEC358B	1	0	1	3
Verified (Factored)	2017-10-22	Oliver Kruse	F1DC6356BFEC358B	1	1493961	1	3
Verified	2023-09-04	Nesowa	623088E2A3E51A34	2	1887360	5	3

History

Date	User	Type	Result
2023-09-04	curtisc	CERT	PRP Certification Proof certified good
2023-09-04	Nesowa	C-PRP	M2174723/102043013299997114887369/1002258823750195778769487 : 623088E2A3E51A34 PRP proof power = 7 PRP: Verified Proof certified good
2023-09-04	Nesowa	F-ECM	Factor: 1002258823750195778769487 / (ECM curve 48, B1=50000, B2=38914785, Sigma=1973820810602946)
2017-10-22	Oliver Kruse	C-PRP	M2174723/102043013299997114887369 : F1DC6356BFEC358B PRP: Verified (Factored) PRP without proof (not generated)
2017-10-10	kkmrkkblmbrbk	C-PRP	M2174723/102043013299997114887369 : F1DC6356BFEC358B PRP: Verified (Factored) PRP without proof (not generated)
2016-06-22	Jason U	F-ECM	Factor: 102043013299997114887369 / (ECM curve 2, B1=50000, B2=5000000)
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-01-02	ramgeis	NF	no factor from 2^65 to 2^66
2015-12-20	HBendtz	NF-PM1	B1=700000, B2=21000000, e=12
2015-03-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-05	Joss	NF-PM1	B1=149028
2014-06-13	Joss	NF-PM1	B1=119514
2013-09-09	ramgeis	NF	no factor from 2^62 to 2^63
2011-01-15	markr	NF-PM1	B1=90000, B2=1620000, E=6
2010-11-07	Joss	NF-PM1	B1=30000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-07	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-05	Sturle Sunde	NF	no factor from 2^60 to 2^61