2 131 361 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
10373065398361854238577	23	73.1	2020-07-17 17:57:24
385984201459474210908641	24	78.4	2024-12-04 09:10:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	159 / 640

Estimated T-Level: 26.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1997-11-12	Herb Savage	CD4836F5EBBCBF29	0
Verified (Factored)	1999-02-07	Kevin Bennett	CD4836F5EBBCBF29	1137090
Verified (Factored)	2018-04-05	kkmrkkblmbrbk	CD4836F5EBBCBF29	233400

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2020-07-17	ATH	AA225866B94DD4A9	1	2118026	5	3
Verified (Factored)	2020-07-17	oodaira	AA225866B94DD4A9	1	66084	5	3
Verified	2024-12-09	Naegi Makoto	AA225866B94DD4A9	2	1769987	5	3

History

Date	User	Type	Result
2024-12-09	George Vanev	CERT	PRP Certification Proof certified good
2024-12-09	Naegi Makoto	C-PRP	M2131361/10373065398361854238577/385984201459474210908641 : AA225866B94DD4A9 PRP proof power = 7 PRP: Verified Proof certified good
2024-12-04	TJAOI	F-ECM	Factor: 385984201459474210908641 / (ECM curve 24, B1=250000, B2=201799455, Edwards Sigma=3987558256983694)
2020-07-17	oodaira	C-PRP	M2131361/10373065398361854238577 : AA225866B94DD4A9 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-17	ATH	C-PRP	M2131361/10373065398361854238577 : AA225866B94DD4A9 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-17	GAN	F-ECM	Factor: 10373065398361854238577 / (ECM curve 1, B1=50000, B2=5000000, Sigma=6532403970795200)
2019-04-29	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-05	kkmrkkblmbrbk	C-LL	CD4836F5EBBCBF29
2017-09-24	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2017-08-30	Joss	NF-PM1	B1=504000, B2=5040000, E=6
2017-08-19	Joss	NF-PM1	B1=420000, B2=4200000, E=6
2016-10-29	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-28	Joss	NF-PM1	B1=210000, B2=6090000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-15	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-15	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-09-07	ramgeis	NF	no factor from 2^62 to 2^63
2012-04-14	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-22	James Heinrich	NF-PM1	B1=140000, B2=3045000, E=6
2011-01-12	Joss	NF-PM1	B1=50000
2009-01-05	Sturle Sunde	NF	no factor from 2^60 to 2^61

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