16 309 589 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1096223465124083478403337359	28	89.8	2017-02-26 15:32:15

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2002-10-12	EDNY	4E6097079516CDC5	9449654
Verified (Factored)	2006-04-28	Eric Bravick	4E6097079516CDC5	7477045

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-03-01	Jason Lynch	58A3700859BE4A63	1	1440990	5	3

History

Date	User	Type	Result
2024-03-02	Perig	CERT	PRP Certification Proof certified good
2024-03-01	Jason Lynch	C-PRP	M16309589/1096223465124083478403337359 : 58A3700859BE4A63 PRP proof power = 8 PRP: Verified Proof certified good
2024-01-24	nordi	NF-PM1	B1=500000, B2=256559940
2023-12-10	nordi	NF-PM1	B1=500000
2017-02-26	bam	F-ECM	Factor: 1096223465124083478403337359 / (ECM curve 1, B1=50000, B2=5000000)
2016-03-16	Mark Rose	NF	no factor from 2^65 to 2^66
2014-08-18	Nesowa	NF	no factor from 2^66 to 2^67