2 238 631 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
245321014280682193681	21	67.7	2023-03-16 10:47:47
468556623171992178521	21	68.7	2023-10-05 18:37:31
2882815188297346374029063	25	81.3	2016-01-10 16:25:13

ECM

Digits	B1	Curves
25	50000	105 / 280

Estimated T-Level: 21.9 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		The Vanguard (Nelson Jones & Mohammad Malik & Anthony Joseph & Art Mandelin & Ed	138FE50B36FFA7F6	0
Verified (Factored)	1999-04-13	Matthew Gauthier	138FE50B36FFA7F6	197984

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	F9E63FE6078CFEE5	1	0	1	3
Verified (Factored)	2017-10-28	Oliver Kruse	F9E63FE6078CFEE5	1	331172	1	3
Verified (Factored)	2023-03-23	prime23	E7E335AF3FDB53AB	2	2140661	5	3
Verified	2023-10-06	Naegi Makoto	E7E335AF3FDB53AB	3	2137258	5	3

P-1 factors

Date	Factor	B1	B2
2016-01-10	2882815188297346374029063	2000000	65000000

History

Date	User	Type	Result
2023-10-06	Jason Lynch	CERT	PRP Certification Proof certified good
2023-10-06	Naegi Makoto	C-PRP	M2238631/245321014280682193681/468556623171992178521/2882815188297346374029063 : E7E335AF3FDB53AB PRP proof power = 7 PRP: Verified Proof certified good
2023-10-05	SmithMichae2	F-ECM	Factor: 468556623171992178521 / (ECM curve 10, B1=50000, B2=7050000, Sigma=4504080706667407)
2023-03-23	Randall W. Anderson	CERT	PRP Certification Proof certified good
2023-03-23	prime23	C-PRP	M2238631/2882815188297346374029063/245321014280682193681 : E7E335AF3FDB53AB PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2023-03-16	TJAOI	F	Factor: 245321014280682193681 / TF: 67-68
2017-10-28	Oliver Kruse	C-PRP	M2238631/2882815188297346374029063 : F9E63FE6078CFEE5 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2238631/2882815188297346374029063 : F9E63FE6078CFEE5 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-22	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-01-10	Alexander Dubrovin	F-PM1	Factor: 2882815188297346374029063 / (P-1, B1=2000000, B2=65000000, E=12)
2015-12-02	Alexander Dubrovin	NF-PM1	B1=1000000, B2=6000000, E=6
2015-10-25	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-10	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-10	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-30	Joss	NF-PM1	B1=142342
2014-06-01	Joss	NF-PM1	B1=113671
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2012-04-27	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-14	Oscar Östlin	NF-PM1	B1=85000, B2=1636250, E=6
2010-11-08	Oscar Östlin	NF-PM1	B1=75011
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61

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