213 947 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
12901102557211276036744887377	29	93.4	2015-11-21 13:30:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	244 / 1566

Estimated T-Level: 30.8 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Chris Haley	670148B8BAA38190	0
Verified (Factored)		Kevin N. Carpenter	670148B8BAA38190	0
Verified (Factored)		Eivind Triel	670148B8BAA38190	157131
Verified (Factored)	2002-12-25	Brian J. Beesley	670148B8BAA38190	17324

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	48D8AD62588AC651	1	0	1	3
Verified	2017-09-22	Oliver Kruse	48D8AD62588AC651	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	48D8AD62588AC651	1	59681	1	3
Verified	2020-04-17	Oliver Kruse	BBE4ED865932D167	1	62786	5	3
Verified	2023-08-03	USAFSS	BBE4ED865932D167	1	168035	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M213947/12901102557211276036744887377 : BBE4ED865932D167 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-12-02	fbaur	NF-PP1	Start=2/7, B1=150000000, B2=12600000000
2020-04-17	Oliver Kruse	C-PRP	M213947/12901102557211276036744887377 : BBE4ED865932D167 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M213947/12901102557211276036744887377 : 48D8AD62588AC651 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M213947/12901102557211276036744887377 : 48D8AD62588AC651 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M213947/12901102557211276036744887377 : 48D8AD62588AC651 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M213947/12901102557211276036744887377 : 48D8AD62588AC651 PRP without proof (not generated)
2015-11-21	bam	F-ECM	Factor: 12901102557211276036744887377 / (ECM curve 2, B1=250000, B2=25000000)
2015-06-19	snme2pm1	NF	no factor from 2^61 to 2^62
2013-11-28	LaurV	NF	no factor from 2^60 to 2^61
2013-11-12	c10ck3r	NF-PM1	B1=50000000, B2=1000000000, E=12
2013-10-22	c10ck3r	NF-PM1	B1=50000000
2009-03-23	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-27	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59