348 889 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
3953027658281601197880217231	28	91.7	2019-04-02 01:56:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	222 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1C20	0
Verified (Factored)		Unknown	1C20	0
Verified (Factored)		Guillermo Ballester Valor	A970BC3EFA709C20	0
Verified (Factored)		Eivind Triel	A970BC3EFA709C20	235356
Verified (Factored)	2002-02-03	Dennis Pope	A970BC3EFA709C20	253415

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-03	matzetoni	FDF4948DD9344A03	1	31559	5	3
Verified	2019-05-03	kkmrkkblmbrbk	FDF4948DD9344A03	1	315267	5	3
Verified	2019-06-12	camaju	FDF4948DD9344A03	1	256040	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-06-12	camaju	C-PRP	M348889/3953027658281601197880217231 : FDF4948DD9344A03 PRP: Verified PRP without proof (small exponent)
2019-05-03	kkmrkkblmbrbk	C-PRP	M348889/3953027658281601197880217231 : FDF4948DD9344A03 PRP: Verified PRP without proof (small exponent)
2019-04-03	matzetoni	C-PRP	M348889/3953027658281601197880217231 : FDF4948DD9344A03 PRP: Verified PRP without proof (small exponent)
2019-04-02	alex	F-ECM	Factor: 3953027658281601197880217231 / (ECM curve 43, B1=250000, B2=25000000, Sigma=4623893275560544)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2018-02-05	BloodERazor	NF	no factor from 2^64 to 2^65
2016-11-03	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-19	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-19	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2012-02-15	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-14	Joss	NF-PM1	B1=1301312
2010-04-04	Architects Cubed	NF	no factor from 2^60 to 2^61
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59