736 027 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
15328571120532803420772286267649	32	103.6	2022-10-03 15:13:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	129 / 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	3F97	0
Verified (Factored)		Roger Gariépy	65464D28E237FF97	0
Verified (Factored)		Brian J. Beesley	65464D28E237FF97	0
Verified (Factored)	2015-04-11	MadPoo	65464D28E237FF97	712004

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-10-04	Rubiksmath	6DA6F7556A0924E9	1	238888	5	3

History

Date	User	Type	Result
2022-10-04	TimoS	CERT	PRP Certification Proof certified good
2022-10-04	Rubiksmath	C-PRP	M736027/15328571120532803420772286267649 : 6DA6F7556A0924E9 PRP proof power = 6 PRP: Verified Proof certified good
2022-10-03	Luminescence	F-ECM	Factor: 15328571120532803420772286267649 / (ECM curve 7, B1=250000, B2=254268105, Sigma=7571763686613879)
2022-04-16	lycorn	NF-PM1	B1=7500000, B2=1103176824750
2022-03-23	Gordon Spence	NF	no factor from 2^67 to 2^68
2020-05-10	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-09-08	Smok_bmv	NF	no factor from 2^65 to 2^66
2016-04-16	lycorn	NF	no factor from 2^64 to 2^65
2015-11-23	Sid & Andy	NF-PM1	B1=7360270, B2=220808100, E=12
2015-10-17	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-17	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	65464D28E237FF97
2015-03-03	NR	NF	no factor from 2^61 to 2^62
2013-10-29	David Campeau	NF-PM1	B1=1485000, B2=49005000, E=12
2012-03-29	Joss	NF-PM1	B1=1482985
2011-10-15	Joss	NF-PM1	B1=988656
2011-08-24	Joss	NF-PM1	B1=494328
2011-07-10	Joss	NF-PM1	B1=296597
2010-06-18	Architects Cubed	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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