289 181 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1800631303165364082435007	25	80.6	2020-11-05 00:38:29
311697831357330490585003529	27	88.0	2012-09-06 22:10:21

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	508 / 640

Estimated T-Level: 29.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1BA2	0
Verified (Factored)		Unknown	1BA2	0
Verified (Factored)		Guillermo Ballester Valor	766FF09583AF9BA2	0
Verified (Factored)		Brian J. Beesley	766FF09583AF9BA2	0
Verified (Factored)		Eivind Triel	766FF09583AF9BA2	285619

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	696DEA736F66BC46	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	696DEA736F66BC46	1	240327	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	696DEA736F66BC46	1	127718	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	115F042B3A1615A8	1	266637	5	3
Verified	2020-11-05	mnd9	115F042B3A1615A8	2	234970	5	3
Verified	2020-11-07	LordJulius	115F042B3A1615A8	2	46630	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-11-07	Ben Delo	CERT	PRP Certification Proof certified good
2020-11-07	LordJulius	C-PRP	M289181/311697831357330490585003529/1800631303165364082435007 : 115F042B3A1615A8 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-06	curtisc	CERT	PRP Certification Proof certified good
2020-11-05	mnd9	C-PRP	M289181/1800631303165364082435007/311697831357330490585003529 : 115F042B3A1615A8 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-05	nordi	F-ECM	Factor: 1800631303165364082435007 / (ECM curve 3, B1=250000, B2=25000000, Sigma=5938660242183431)
2020-04-17	Oliver Kruse	C-PRP	M289181/311697831357330490585003529 : 115F042B3A1615A8 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M289181/311697831357330490585003529 : 696DEA736F66BC46 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M289181/311697831357330490585003529 : 696DEA736F66BC46 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M289181/311697831357330490585003529 : 696DEA736F66BC46 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M289181/311697831357330490585003529 : 696DEA736F66BC46 PRP without proof (not generated)
2012-09-06	Sturle Sunde	F-ECM	Factor: 311697831357330490585003529
2012-08-10	markr	NF-PM1	B1=12000000, B2=500000000, E=12
2011-07-26	Joss	NF-PM1	B1=1659882
2009-01-26	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-05	Sturle Sunde	NF	no factor from 2^58 to 2^59