2 182 841 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
326383035362438774473577	24	78.1	2025-05-16 09:27:17
3735447523123027083784256609	28	91.6	2020-09-24 16:33:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	164 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		phil kenny	365C387B0FCBC5DD	0
Verified (Factored)	1999-02-07	Jacob Bax	365C387B0FCBC5DD	850106
Verified (Factored)	2018-04-13	kkmrkkblmbrbk	365C387B0FCBC5DD	134136

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2020-09-25	mrh	0089B52A5A3A2B7D	1	177591	5	3
Verified	2025-05-22	coffeeguy	0089B52A5A3A2B7D	2	508259	5	3

History

Date	User	Type	Result
2025-05-22	carlds	CERT	PRP Certification Proof certified good
2025-05-22	coffeeguy	C-PRP	M2182841/326383035362438774473577/3735447523123027083784256609 : 0089B52A5A3A2B7D PRP proof power = 7 PRP: Verified Proof certified good
2025-05-16	TJAOI	F-ECM	Factor: 326383035362438774473577 / (ECM curve 23, B1=250000, B2=251325195, Edwards Sigma=5129496131645522)
2020-09-25	Klaus Nordmann	CERT	PRP Certification Proof certified good
2020-09-25	mrh	C-PRP	M2182841/3735447523123027083784256609 : 0089B52A5A3A2B7D PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2020-09-24	Gerry Snyder	F-ECM	Factor: 3735447523123027083784256609 / (ECM curve 3, B1=50000, B2=5000000, Sigma=1744229464518053)
2019-04-15	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-13	kkmrkkblmbrbk	C-LL	365C387B0FCBC5DD
2018-01-30	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2016-11-24	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-01-31	Joss	NF-PM1	B1=443226, B2=4432260, E=6
2016-01-02	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-10	Joss	NF-PM1	B1=148808
2014-06-26	-Anonymous-	NF-PM1	B1=119404
2013-09-14	BloodIce	NF	no factor from 2^62 to 2^63
2011-01-13	markr	NF-PM1	B1=90000, B2=1620000, E=6
2010-11-08	Joss	NF-PM1	B1=30000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-08	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61

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