5 259 427 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁷²

TF target 2⁶⁶

Factored

Factor	Digits	Bits	Date
191799537146141920546913	24	77.3	2025-02-11 09:01:41

ECM

Digits	B1	Curves
25	50000	71 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		John Gilmore	C7E8CBA352DED5A0	0	Windows,Prime95,v14,(aka WQ1)
Factored	2000-06-23	David Willmore	C7E8CBA352DED5A0	1368134	Linux 32-bit,Prime95,v20,(aka WW2)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2025-02-16	kagakubu	436B40AD110D85EC	1	4218969	5	3
Verified	Certified Good	2025-02-19	pilotpsk	436B40AD110D85EC	1	4243121	5	3

History

Date	User	Type	Result
2025-02-19	JG48	CERT	Proof certified good
2025-02-19	pilotpsk	C-PRP	Proof Certified Good Proof Power: 7
2025-02-16	kagakubu	C-PRP	M5259427/191799537146141920546913 : 436B40AD110D85EC
2025-02-11	Andrey Dobrynin	F-ECM	Factor: 191799537146141920546913 / ECM curve 30, B1=50000, B2=88280115, Edwards Sigma=4267702041987431
2022-09-07	Sid & Andy	NF-PM1	B1=8000000, B2=6410980290
2021-09-16	SRBase	NF	no factor TF: 71-72
2021-08-23	SRBase	NF	no factor TF: 70-71
2021-08-19	SRBase	NF	no factor TF: 69-70
2020-12-08	TJAOI	NF	no factor TF: 68-69
2020-05-15	King	NF-PM1	B1=1000000, B2=22500000
2019-06-23	Numberwang	NF-PM1	B1=100000, B2=1575000
2018-06-17	ramgeis	NF	no factor TF: 67-68
2016-06-05	Gordon Spence	NF	no factor TF: 66-67
2015-08-12	snme2pm1	NF	no factor TF: 65-66
2014-12-22	VictordeHollander	NF	no factor TF: 64-65
2014-12-22	VictordeHollander	NF	no factor TF: 63-64
2010-07-13	Squeeky_Squirrel	NF-PM1	B1=60000, B2=975000, E=6
2009-08-21	Carsten Kossendey	NF-PM1	B1=25000, B2=337500
2009-06-07	GrunwalderGIMP	NF	no factor TF: 62-63
2000-06-23	willmore	C-LL	C7E8CBA352DED5A0
1998-12-06	-anonymous-	NF	no factor TF: 1-62

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