234 161 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
58071929	8	25.8	old
93196079	8	26.5	2008-07-21 09:14:33
56300987893607277272927	23	75.6	2014-08-04 11:21:50
28076848901117733216863009	26	84.5	2019-12-14 22:52:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	500 / 640

Estimated T-Level: 28.9 ⓘ

TF below 2^91 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	A151E498C2E9AA18	3	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	A151E498C2E9AA18	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	A151E498C2E9AA18	3	232122	1	3
Verified	2019-12-16	mnd9	004D4DE9CA9DA30F	4	119491	5	3
Verified	2020-01-20	Justine V.	004D4DE9CA9DA30F	4	205665	5	3

History

Date	User	Type	Result
2022-03-29	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-07-03	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2021-04-01	Conductor	F-ECM	Factor: 5412076082766391 / (ECM curve 1, B1=250000, B2=25000000, Sigma=7994912014752186)
2020-01-20	Justine V.	C-PRP	M234161/58071929/93196079/56300987893607277272927/28076848901117733216863009 : 004D4DE9CA9DA30F PRP: Verified PRP without proof (small exponent)
2019-12-16	mnd9	C-PRP	M234161/58071929/93196079/56300987893607277272927/28076848901117733216863009 : 004D4DE9CA9DA30F PRP: Verified PRP without proof (small exponent)
2019-12-14	Ducho_YYZ	F-ECM	Factor: 28076848901117733216863009 / (ECM curve 1, B1=250000, B2=25000000, Sigma=581190557539490)
2017-11-06	kkmrkkblmbrbk	C-PRP	M234161/58071929/93196079/56300987893607277272927 : A151E498C2E9AA18 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M234161/58071929/93196079/56300987893607277272927 : A151E498C2E9AA18 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M234161/58071929/93196079/56300987893607277272927 : A151E498C2E9AA18 PRP without proof (not generated)
2014-08-04	TJAOI	F-ECM	Factor: 56300987893607277272927
2008-07-21	J Feitsma	F	Factor: 93196079