547 853 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
92753661256849349184764632823	29	96.2	2021-01-22 08:07:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	547 / 640

Estimated T-Level: 29.3 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3038	0
Verified (Factored)		Conrad Curry	2710DAFD917F7038	0
Verified (Factored)		Klaus Kastens	2710DAFD917F7038	446629
Verified (Factored)	2015-04-11	MadPoo	2710DAFD917F7038	356740

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-22	mnd9	6CBD4864C78BA741	1	454703	5	3
Verified	2021-01-24	Sébastien BROUCKE	6CBD4864C78BA741	1	293154	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-03-26	curtisc	CERT	PRP Certification Proof certified good
2021-01-24	Sébastien BROUCKE	C-PRP	M547853/92753661256849349184764632823 : 6CBD4864C78BA741 PRP: Verified PRP without proof (small exponent)
2021-01-22	mnd9	C-PRP	M547853/92753661256849349184764632823 : 6CBD4864C78BA741 PRP proof power = 6 PRP: Verified Proof certified good
2021-01-22	lycorn	F-ECM	Factor: 92753661256849349184764632823 / (ECM curve 277, B1=250000, B2=38500000, Sigma=2819000248963279)
2020-09-02	Yxinity	NF	no factor from 2^66 to 2^67
2019-03-29	alex	NF-PM1	B1=10000000, B2=600000000, E=12
2018-06-04	chuenkit	NF	no factor from 2^65 to 2^66
2017-11-24	BloodERazor	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^60 to 2^61
2015-09-29	mikr	NF-PM1	B1=8628955, B2=371045062, E=12
2015-09-13	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-13	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-10	NR	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	2710DAFD917F7038
2013-10-09	David Campeau	NF-PM1	B1=1225000, B2=37975000, E=12
2012-07-14	Joss	NF-PM1	B1=1095706
2011-08-01	Joss	NF-PM1	B1=724900
2011-06-26	Joss	NF-PM1	B1=434940
2011-06-23	Joss	NF-PM1	B1=400000

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