111 091 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
13278493205803353836626067984699545182007	41	133.3	2023-03-10 03:26:41

ECM

Estimated T-Level: 36.0 ⓘ

TF below 2^115 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	109F	0
Verified (Factored)		Ethan O'Connor	498D5E439CDF109F	0
Verified (Factored)		Brian J. Beesley	498D5E439CDF109F	0
Verified (Factored)		Eivind Triel	498D5E439CDF109F	106703
Verified (Factored)	2016-06-01	MadPoo	498D5E439CDF109F	96010

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-03-11	Oliver Kruse	4AC1CA6838312AE4	1	13521	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-10	13278493205803353836626067984699545182007	10000000000	671544773439540

History

Date	User	Type	Result
2023-03-11	curtisc	CERT	PRP Certification Proof certified good
2023-03-11	Oliver Kruse	C-PRP	M111091/13278493205803353836626067984699545182007 : 4AC1CA6838312AE4 PRP proof power = 5 PRP: Verified Proof certified good
2023-03-10	curtisc	CERT	PRP Certification
2023-03-10	Oliver Kruse	F-PM1	Factor: 13278493205803353836626067984699545182007 / (P-1, B1=10000000000, B2=671544773439540)
2023-02-24	Joss	NF-PM1	B1=1000000, B2=370915575030
2022-04-26	404_factor_not_found	NF	no factor from 2^67 to 2^68
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-12-23	LordJulius	NF	no factor from 2^66 to 2^67
2021-04-23	Oliver Kruse	NF-PP1	Start=2/7, B1=10000000, B2=4000000000
2019-06-06	Yxinity	NF	no factor from 2^65 to 2^66
2018-05-16	mikr	NF-PM1	B1=1000000000, B2=60000000000, E=12
2018-05-14	chuenkit	NF	no factor from 2^64 to 2^65
2016-06-01	MadPoo	C-LL	498D5E439CDF109F
2016-02-29	Gordon Spence	NF	no factor from 2^63 to 2^64
2016-02-29	Gordon Spence	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^57 to 2^58
2015-08-13	NR	NF	no factor from 2^61 to 2^62
2013-11-28	LaurV	NF	no factor from 2^60 to 2^61
2012-12-21	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-04	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-02	Sturle Sunde	NF	no factor from 2^58 to 2^59

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