2 145 289 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6236141634273405697	19	62.4	2013-09-07 11:35:26
75429792095812681577	20	66.0	2019-09-05 12:18:51
182364251258344036581913	24	77.3	2023-01-25 03:30:27
16560132234137093763440867129	29	93.7	2024-10-23 07:39:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	166 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Kim Neve	8B1698C1E47B8D41	0
Bad	1999-03-01	jim fowley	F4630DE4954F2279	2122160
Verified (Factored)	1999-08-22	Poul Poulsen	8B1698C1E47B8D41	374364

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-08	Oliver Kruse	9A94DCCF9E409D7C	1	0	1	3
Verified (Factored)	2017-11-18	kkmrkkblmbrbk	9A94DCCF9E409D7C	1	1498263	1	3
Verified (Factored)	2019-09-06	mnd9	A982616D1B3A39CE	2	1891615	5	3
Verified (Factored)	2019-09-09	GAN	A982616D1B3A39CE	2	1632640	5	3
Verified (Factored)	2023-01-27	_p95holder_	A982616D1B3A39CE	3	1394004	5	3
Verified	2024-10-23	Naegi Makoto	A982616D1B3A39CE	4	319066	5	3

History

Date	User	Type	Result
2024-10-23	LOBES	CERT	PRP Certification Proof certified good
2024-10-23	Naegi Makoto	C-PRP	M2145289/6236141634273405697/75429792095812681577/182364251258344036581913/16560132234137093763440867129 : A982616D1B3A39CE PRP proof power = 7 PRP: Verified Proof certified good
2024-10-23	TJAOI	F-ECM	Factor: 16560132234137093763440867129 / (ECM curve 35, B1=250000, B2=264647565, Edwards Sigma=6784967451880151)
2023-01-27	_p95holder_	C-PRP	M2145289/6236141634273405697/75429792095812681577/182364251258344036581913 : A982616D1B3A39CE PRP: Verified (Factored) PRP without proof (not generated)
2023-01-25	_p95holder_	F-ECM	Factor: 182364251258344036581913 / (ECM curve 7, B1=50000, B2=5000000)
2022-03-09	LordJulius	NF	no factor from 2^65 to 2^66
2022-03-09	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-09	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2019-09-09	GAN	C-PRP	M2145289/6236141634273405697/75429792095812681577 : A982616D1B3A39CE PRP: Verified (Factored) PRP without proof (not generated)
2019-09-06	mnd9	C-PRP	M2145289/6236141634273405697/75429792095812681577 : A982616D1B3A39CE PRP: Verified (Factored) PRP without proof (not generated)
2019-09-05	TJAOI	F	Factor: 75429792095812681577 / TF: 66-67
2017-11-18	kkmrkkblmbrbk	C-PRP	M2145289/6236141634273405697 : 9A94DCCF9E409D7C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-08	Oliver Kruse	C-PRP	M2145289/6236141634273405697 : 9A94DCCF9E409D7C PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2013-09-07	ramgeis	F	Factor: 6236141634273405697 / TF: 62-63
2011-01-21	James Heinrich	NF-PM1	B1=130000, B2=2632500, E=6
2011-01-13	Joss	NF-PM1	B1=50000
2010-12-30	Joss	NF-PM1	B1=30000
2010-11-03	Joss	NF-PM1	B1=20000
2009-01-07	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-04	Sturle Sunde	NF	no factor from 2^60 to 2^61

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