14 723 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
53640670839680304281143787572572333670778965673301623191	56	185.1	2023-06-13 12:32:18

ECM

Estimated T-Level: 48.0 ⓘ

TF below 2^155 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	2B52	0
Verified (Factored)		George Woltman	D3ECC51146EC2B52	0
Verified (Factored)		Brian J. Beesley	D3ECC51146EC2B52	0
Verified (Factored)	2015-04-11	MadPoo	D3ECC51146EC2B52	4424

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-06-13	Naegi Makoto	016D7CA0CBFFE8F0	1	1644	5	3
Verified	2023-06-15	/r/counting	016D7CA0CBFFE8F0	1	13140	5	3

History

Date	User	Type	Result
2023-06-15	/r/counting	C-PRP	M14723/53640670839680304281143787572572333670778965673301623191 : 016D7CA0CBFFE8F0 PRP: Verified PRP without proof (small exponent)
2023-06-13	Naegi Makoto	C-PRP	M14723/53640670839680304281143787572572333670778965673301623191 : 016D7CA0CBFFE8F0 PRP: Verified PRP without proof (small exponent)
2023-06-13	Ryan Propper	F-ECM	Factor: 53640670839680304281143787572572333670778965673301623191 / (ECM curve 1, B1=110000000, B2=820858548526, Sigma=10902941312430615040)
2023-04-16	-Anonymous-	NF-PM1	B1=1000000000000, B2=1401075893663576130
2022-03-26	-Anonymous-	NF-PM1	B1=100000000000, B2=100013732677278420
2021-11-20	Ruslan Borisov	NF	no factor from 2^65 to 2^66
2021-05-11	ATH	NF-PP1	Start=2/7, B1=1000000000, B2=241000000000
2018-12-24	Anton Repko	NF	no factor from 2^64 to 2^65
2018-08-28	Anton Repko	NF	no factor from 2^63 to 2^64
2018-06-20	James Hintz	NF-PM1	B1=23515340287, B2=1763650521525, E=12
2016-07-19	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-08-03	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	D3ECC51146EC2B52
2013-03-30	bcp19	NF-PM1	B1=10000000000, B2=100000000000, E=12
2012-12-25	bcp19	NF	no factor from 2^60 to 2^61
2012-10-12	Joss	NF-PM1	B1=584608539
2011-05-18	Joss	NF-PM1	B1=400000000
2010-07-04	George Woltman	NF	no factor from 2^59 to 2^60
2010-07-04	George Woltman	NF	no factor from 2^58 to 2^59

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