3 915 521 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
88633412850816724510296279059033408879278793	44	146.0	2023-07-01 01:29:17

ECM

Digits	B1	Curves
25	50000	43 / 280

Estimated T-Level: 20.8 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-01-13	Chris Kocur	788D99CE80C0FACB	0
Verified (Factored)	1999-12-08	Steven Laux	788D99CE80C0FACB	3190106

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-07-01	Naegi Makoto	0E8A2877C8821429	1	3442585	5	3

P-1 factors

Date	Factor	B1	B2
2023-07-01	88633412850816724510296279059033408879278793	5200000	16049353320

History

Date	User	Type	Result
2023-07-01	curtisc	CERT	PRP Certification Proof certified good
2023-07-01	Naegi Makoto	C-PRP	M3915521/88633412850816724510296279059033408879278793 : 0E8A2877C8821429 PRP proof power = 7 PRP: Verified Proof certified good
2023-07-01	Sid & Andy	F-PM1	Factor: 88633412850816724510296279059033408879278793 / (P-1, B1=5200000, B2=16049353320)
2023-02-12	Joss	NF-PM1	B1=1000000, B2=263698050
2022-10-30	Joss	NF-PM1	B1=1000000, B2=130364850
2022-04-28	Joss	NF-PM1	B1=500000, B2=130364850
2021-11-18	Aaron Haviland	NF-PM1	B1=500000, B2=15000000, e=12
2021-06-09	-Anonymous-	NF	no factor from 2^70 to 2^71
2021-04-18	axn	NF	no factor from 2^69 to 2^70
2020-05-22	TJAOI	NF	no factor from 2^68 to 2^69
2019-01-11	Yxinity	NF	no factor from 2^67 to 2^68
2016-12-03	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-04-09	Joss	NF-PM1	B1=228096, B2=4105728, E=6
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-11	ramgeis	NF	no factor from 2^65 to 2^66
2015-01-14	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-14	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-11-03	Joss	NF-PM1	B1=86392
2012-02-10	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-10-04	Squeeky_Squirrel	NF-PM1	B1=70000, B2=1172500, E=6
2011-02-17	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-10	Carsten Kossendey	NF-PM1	B1=20000, B2=285000
2009-02-23	S485122	NF	no factor from 2^60 to 2^61

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