778 213 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
108366466090775000476999409	27	86.5	2023-03-20 12:52:48

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	132 / 640

Estimated T-Level: 26.0 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1F23	0
Verified (Factored)		Peter Marksteiner	23872C0B4EBC5F23	0
Verified (Factored)	2002-10-26	Mark Outhier	23872C0B4EBC5F23	265712
Verified (Factored)	2015-04-11	MadPoo	23872C0B4EBC5F23	694335

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-03-20	masser	072F5C9F5BBFAFA9	1	475220	5	3

History

Date	User	Type	Result
2023-04-28	masser	NF-PP1	Start=6/5, B1=6000000, B2=276000000
2023-03-22	Joss	NF-PM1	B1=1000000, B2=13912959060
2023-03-20	Michael Bahlen	CERT	PRP Certification Proof certified good
2023-03-20	masser	F-PP1	Start=135/17, B1=6000000, Factor: 108366466090775000476999409
2023-03-20	masser	C-PRP	M778213/108366466090775000476999409 : 072F5C9F5BBFAFA9 PRP proof power = 6 PRP: Verified Proof certified good
2023-03-20	masser	F-PP1	Start=2/7, B1=6000000, Factor: 108366466090775000476999409
2022-11-24	Joss	NF-PM1	B1=1621000, B2=4929814890
2022-03-14	Gordon Spence	NF	no factor from 2^67 to 2^68
2020-03-08	Yxinity	NF	no factor from 2^66 to 2^67
2018-03-23	Smok_bmv	NF	no factor from 2^65 to 2^66
2016-03-16	lycorn	NF	no factor from 2^64 to 2^65
2015-11-22	Sid & Andy	NF-PM1	B1=7782130, B2=233463900, E=12
2015-10-25	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-25	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	23872C0B4EBC5F23
2015-03-06	NR	NF	no factor from 2^61 to 2^62
2013-10-28	David Campeau	NF-PM1	B1=1620000, B2=55080000, E=12
2012-07-14	Joss	NF-PM1	B1=1556426
2011-12-17	Joss	NF-PM1	B1=919732
2011-08-28	Joss	NF-PM1	B1=459866
2011-07-10	Joss	NF-PM1	B1=275919
2010-06-14	Architects Cubed	NF	no factor from 2^60 to 2^61
2008-10-17	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-17	Sturle Sunde	NF	no factor from 2^58 to 2^59

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