604 031 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2688827027380961113725655084266575930978273	43	140.9	2022-05-10 01:07:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	248 / 640

Estimated T-Level: 26.9 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1B9F	0
Verified (Factored)		Ken Kriesel	6FA84770D0231B9F	0
Verified (Factored)	2002-07-06	Dennis Pope	6FA84770D0231B9F	74951
Verified (Factored)	2015-04-11	MadPoo	6FA84770D0231B9F	185852

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-05-10	aperson1	5FC9D48A5A2AEC8D	1	188103	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-10	2688827027380961113725655084266575930978273	12000000	680042059620

History

Date	User	Type	Result
2022-05-10	ANONYMOUS	CERT	PRP Certification Proof certified good
2022-05-10	aperson1	C-PRP	M604031/2688827027380961113725655084266575930978273 : 5FC9D48A5A2AEC8D PRP proof power = 6 PRP: Verified Proof certified good
2022-05-10	lycorn	F-PM1	Factor: 2688827027380961113725655084266575930978273 / (P-1, B1=12000000, B2=680042059620)
2018-02-05	Smok_bmv	NF	no factor from 2^68 to 2^69
2017-11-28	Smok_bmv	NF	no factor from 2^67 to 2^68
2017-11-28	Smok_bmv	NF	no factor from 2^66 to 2^67
2017-11-28	Smok_bmv	NF	no factor from 2^65 to 2^66
2017-10-15	BloodERazor	NF	no factor from 2^64 to 2^65
2015-11-09	Sid & Andy	NF-PM1	B1=6040310, B2=181209300, E=12
2015-10-22	Bruno Victal	NF-PM1	B1=1600000, B2=66000000, E=12
2015-09-25	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-25	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-17	NR	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	6FA84770D0231B9F
2013-10-13	David Campeau	NF-PM1	B1=1255000, B2=40160000, E=12
2012-07-21	Joss	NF-PM1	B1=1208062
2012-03-08	Joss	NF-PM1	B1=798396
2011-08-28	Joss	NF-PM1	B1=638717
2011-07-01	Joss	NF-PM1	B1=383230
2010-12-23	Sid & Andy	NF	no factor from 2^60 to 2^61
2008-10-11	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-11	Sturle Sunde	NF	no factor from 2^58 to 2^59

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