2 394 823 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
1234799367929099221321	22	70.1	2009-02-02 04:22:28
109872870724140163691473	24	76.5	2023-07-13 23:21:06

ECM

Digits	B1	Curves
25	50000	74 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joe Decker	CEC79EDA7FA34430	0
Verified (Factored)	1999-04-02	Ernst Priem	CEC79EDA7FA34430	2128040
Verified (Factored)	1999-04-13	Ernst Priem	CEC79EDA7FA34430	2128040

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-12	Oliver Kruse	2E4AA81434808928	1	1762452	5	3
Verified (Factored)	2017-11-26	kkmrkkblmbrbk	2E4AA81434808928	1	36808	5	3
Verified	2023-07-13	Nesowa	2E4AA81434808928	2	624580	5	3

History

Date	User	Type	Result
2023-07-14	LOBES	CERT	PRP Certification Proof certified good
2023-07-13	Nesowa	C-PRP	M2394823/1234799367929099221321/109872870724140163691473 : 2E4AA81434808928 PRP proof power = 7 PRP: Verified Proof certified good
2023-07-13	Nesowa	F-ECM	Factor: 109872870724140163691473 / (ECM curve 7, B1=50000, B2=10008900, Sigma=8163179523080952)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2018-09-28	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-11-26	kkmrkkblmbrbk	C-PRP	M2394823/1234799367929099221321 : 2E4AA81434808928 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-12	Oliver Kruse	C-PRP	M2394823/1234799367929099221321 : 2E4AA81434808928 PRP: Verified (Factored) PRP without proof (not generated)
2009-02-02	Smurgs	F-ECM	Factor: 1234799367929099221321
2009-01-15	Sturle Sunde	NF	no factor from 2^60 to 2^61