214 213 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
1469333383460700342534451381927	31	100.2	2015-03-18 13:20:23

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	14F826A8CA2F32D3	0
Verified (Factored)		Sam Laur	14F826A8CA2F32D3	0
Verified (Factored)		Eivind Triel	14F826A8CA2F32D3	146205
Verified (Factored)	2002-12-25	Brian J. Beesley	14F826A8CA2F32D3	45985

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	3DD6E0C81319FE43	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	3DD6E0C81319FE43	1	183588	1	3
Verified	2020-04-17	Oliver Kruse	4D61FA90BB43C841	1	107843	5	3
Verified	2023-08-03	USAFSS	4D61FA90BB43C841	1	152933	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M214213/1469333383460700342534451381927 : 4D61FA90BB43C841 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
2022-02-24	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-12-03	fbaur	NF-PP1	Start=2/7, B1=150000000, B2=12750000000
2021-05-24	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M214213/1469333383460700342534451381927 : 4D61FA90BB43C841 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M214213/1469333383460700342534451381927 : 3DD6E0C81319FE43 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M214213/1469333383460700342534451381927 : 3DD6E0C81319FE43 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M214213/1469333383460700342534451381927 : 3DD6E0C81319FE43 PRP without proof (not generated)
2015-03-18	mikr	F-ECM	Factor: 1469333383460700342534451381927 / (ECM curve 90, B1=250000, B2=25000000)
2013-07-29	lycorn	NF	no factor from 2^60 to 2^61
2009-03-23	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-28	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