276 763 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
5284438309569020660372831537303	31	102.1	2020-11-24 10:01:42
109668538067295240672936030940774547641	39	126.4	2015-12-08 13:23:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	587 / 640

Estimated T-Level: 29.6 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	B4B	0
Verified (Factored)		Unknown	0B4B	0
Verified (Factored)		Brian J. Beesley	7C92FD5F744D0B4B	0
Verified (Factored)		Eivind Triel	7C92FD5F744D0B4B	227328
Verified (Factored)	2001-11-24	Brian J. Beesley	7C92FD5F744D0B4B	212703

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	FA2530A205619E84	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	FA2530A205619E84	1	256271	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	FA2530A205619E84	1	137873	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	EC03B9DEDA45CFA2	1	28252	5	3
Verified	2020-11-24	mnd9	EC03B9DEDA45CFA2	2	83262	5	3
Verified	2020-11-25	rbanov	EC03B9DEDA45CFA2	2	119196	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-01-16	Franklin Webber	CERT	PRP Certification Proof certified good
2020-11-25	curtisc	CERT	PRP Certification Proof certified good
2020-11-25	rbanov	C-PRP	M276763/109668538067295240672936030940774547641/5284438309569020660372831537303 : EC03B9DEDA45CFA2 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-24	mnd9	C-PRP	M276763/5284438309569020660372831537303/109668538067295240672936030940774547641 : EC03B9DEDA45CFA2 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-24	MarkS	F-ECM	Factor: 5284438309569020660372831537303 / (ECM curve 5, B1=250000, B2=25000000, Sigma=7107486197247127)
2020-04-17	Oliver Kruse	C-PRP	M276763/109668538067295240672936030940774547641 : EC03B9DEDA45CFA2 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M276763/109668538067295240672936030940774547641 : FA2530A205619E84 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M276763/109668538067295240672936030940774547641 : FA2530A205619E84 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M276763/109668538067295240672936030940774547641 : FA2530A205619E84 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M276763/109668538067295240672936030940774547641 : FA2530A205619E84 PRP without proof (not generated)
2015-12-08	bam	F-ECM	Factor: 109668538067295240672936030940774547641 / (ECM curve 2, B1=250000, B2=25000000)
2015-08-13	NR	NF	no factor from 2^61 to 2^62
2013-06-30	lycorn	NF	no factor from 2^60 to 2^61
2012-12-12	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-02-26	Joss	NF-PM1	B1=2196356
2011-07-24	Joss	NF-PM1	B1=1757084
2011-06-26	Joss	NF-PM1	B1=1054250
2009-01-29	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59

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