2 339 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4679	4	12.2	old
299393	6	18.2	old
1445503	7	20.5	old
12406805407153725308369	23	73.4	old
312432273312026527069581365765802214010978497	45	147.8	2012-06-08 22:22:05
2384664180658980612438298393848609901964955383633	49	160.7	2012-07-22 23:12:03
7262745106337922260352140625536322079865240962516347092039	58	192.2	2019-10-09 16:04:12

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	60936 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	78E4F0A4E7435507	6	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	78E4F0A4E7435507	6	0	1	3
Verified (Factored)	2017-12-07	ATH	78E4F0A4E7435507	6	1535	1	3
Verified	2019-10-10	mnd9	E9F74DAFDF222486	7	819	5	3
Verified	2019-10-12	GAN	E9F74DAFDF222486	7	1604	5	3
Verified	2020-04-17	Oliver Kruse	E9F74DAFDF222486	7	816	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	E9F74DAFDF222486	1	2334	5	3

History

Date	User	Type	Result
2023-08-24	LordJulius	NF-PM1	B1=13000000000, B2=35233795348001250
2022-05-12	Jorge Coveiro	C-PRP	M2339/4679 : E9F74DAFDF222486 PRP: Verified (Factored) PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2339/4679/299393/1445503/12406805407153725308369/312432273312026527069581365765802214010978497/2384664180658980612438298393848609901964955383633/7262745106337922260352140625536322079865240962516347092039 : E9F74DAFDF222486 PRP: Verified (Factored) PRP without proof (small exponent)
2019-10-12	GAN	C-PRP	M2339/4679/299393/1445503/12406805407153725308369/312432273312026527069581365765802214010978497/2384664180658980612438298393848609901964955383633/7262745106337922260352140625536322079865240962516347092039 : E9F74DAFDF222486 PRP: Verified (Factored) PRP without proof (small exponent)
2019-10-10	mnd9	C-PRP	M2339/4679/299393/1445503/12406805407153725308369/312432273312026527069581365765802214010978497/2384664180658980612438298393848609901964955383633/7262745106337922260352140625536322079865240962516347092039 : E9F74DAFDF222486 PRP: Verified (Factored) PRP without proof (small exponent)
2019-10-09	Ryan Propper	F-ECM	Factor: 7262745106337922260352140625536322079865240962516347092039 / (ECM curve 1, B1=850000000)
2017-12-07	ATH	C-PRP	M2339/4679/299393/1445503/12406805407153725308369/312432273312026527069581365765802214010978497/2384664180658980612438298393848609901964955383633 : 78E4F0A4E7435507 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2339/4679/299393/1445503/12406805407153725308369/312432273312026527069581365765802214010978497/2384664180658980612438298393848609901964955383633 : 78E4F0A4E7435507 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2339/known_factors : 78E4F0A4E7435507 PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2014-06-05	hksa	F	Factor: 2024947111418041
2012-07-22	Michael Kenn	F-ECM	Factor: 2384664180658980612438298393848609901964955383633
2012-06-08	Michael Kenn	F-ECM	Factor: 312432273312026527069581365765802214010978497