298 093 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
470787697357492847195459443009	30	98.6	2013-10-13 10:16:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	491 / 640

Estimated T-Level: 28.8 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1BB7	0
Verified (Factored)		Unknown	1BB7	0
Verified (Factored)		Guillermo Ballester Valor	28A31F9BB9719BB7	0
Verified (Factored)		Eivind Triel	28A31F9BB9719BB7	12987
Verified (Factored)	2001-11-24	Eugene Gogol'	28A31F9BB9719BB7	289776

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	DD12C444A01394B2	1	0	1	3
Verified	2017-10-12	Oliver Kruse	DD12C444A01394B2	1	71986	1	3
Verified	2017-11-06	kkmrkkblmbrbk	DD12C444A01394B2	1	68612	1	3
Verified	2020-04-17	Oliver Kruse	68A27BB2704D94DD	1	183025	5	3
Verified	2024-08-20	kkmrkkblmbrbk	68A27BB2704D94DD	1	252834	5	3

History

Date	User	Type	Result
2024-08-20	lycorn	CERT	PRP Certification Proof certified good
2024-08-20	kkmrkkblmbrbk	C-PRP	M298093/470787697357492847195459443009 : 68A27BB2704D94DD PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-04-28	nordi	NF-PP1	Start=6/5, B1=10000000, B2=500000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=10000000, B2=500000000
2020-04-17	Oliver Kruse	C-PRP	M298093/470787697357492847195459443009 : 68A27BB2704D94DD PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M298093/470787697357492847195459443009 : DD12C444A01394B2 PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M298093/470787697357492847195459443009 : DD12C444A01394B2 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M298093/470787697357492847195459443009 : DD12C444A01394B2 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M298093/470787697357492847195459443009 : DD12C444A01394B2 PRP without proof (not generated)
2013-10-13	Richard B. Woods	F-ECM	Factor: 470787697357492847195459443009
2013-06-12	lycorn	NF	no factor from 2^60 to 2^61
2012-08-17	markr	NF-PM1	B1=12000000, B2=500000000, E=12
2011-08-01	Joss	NF-PM1	B1=1595825
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-02	Sturle Sunde	NF	no factor from 2^58 to 2^59