4 729 211 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2149411422268649498846520247	28	90.8	2025-10-22 20:31:40

ECM

Digits	B1	Curves
25	50000	180 / 280

Estimated T-Level: 23.2 ⓘ

TF below 2^72 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-04-05	Christian Pauser	8D9CD1079945E853	0
Verified (Factored)	2001-03-17	Joshua Malone	8D9CD1079945E853	3783904

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-10-22	mhoney	894CD55A77BCCF22	1	3620650	5	3

History

Date	User	Type	Result
2025-10-22	Jonathan Webb	CERT	PRP Certification Proof certified good
2025-10-22	mhoney	C-PRP	M4729211/2149411422268649498846520247 : 894CD55A77BCCF22 PRP proof power = 7 PRP: Verified Proof certified good
2025-10-22	mhoney	F-ECM	Factor: 2149411422268649498846520247 / (ECM curve 21, B1=104115, B2=82943322, Edwards Sigma=7904432528794379)
2024-11-16	TheJudger	NF	no factor from 2^72 to 2^73
2024-11-16	TheJudger	NF	no factor from 2^71 to 2^72
2023-02-03	Sid & Andy	NF-PM1	B1=5500000, B2=8994176100
2021-08-22	SRBase	NF	no factor from 2^70 to 2^71
2021-08-18	SRBase	NF	no factor from 2^69 to 2^70
2021-05-24	TJAOI	NF	no factor from 2^68 to 2^69
2018-10-02	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-15	Yxinity	NF	no factor from 2^66 to 2^67
2016-11-28	Squeeky_Squirrel	NF-PM1	B1=290000, B2=8700000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-07-12	snme2pm1	NF	no factor from 2^65 to 2^66
2015-01-11	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-11	VictordeHollander	NF	no factor from 2^63 to 2^64
2011-11-17	Squeeky_Squirrel	NF-PM1	B1=80000, B2=1360000, E=6
2011-10-25	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-06-13	markr	NF	no factor from 2^61 to 2^62
2009-08-30	Carsten Kossendey	NF-PM1	B1=25000, B2=387500

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