6 343 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9045119	7	23.1	old
4330491176870143842412622951	28	91.8	old
104996922777490274230579102690935672313	39	126.3	2021-03-25 11:35:11
6456522500197916651981444125287501641378153	43	142.2	2021-03-26 14:14:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1300 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	ECDE500732A88C41	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	ECDE500732A88C41	2	1693	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	C8D99478865E7D82	2	2875	5	3
Verified (Factored)	2021-03-25	mnd9	C8D99478865E7D82	3	177	5	3
Verified	2021-03-26	mikr	C8D99478865E7D82	4	5281	5	3
Verified (Factored)	2021-03-28	Joe S.	C8D99478865E7D82	3	4640	5	3
Verified	2021-04-02	Chang Chia-Tche	C8D99478865E7D82	4	803	5	3

History

Date	User	Type	Result
2023-08-04	-Anonymous-	NF-PM1	B1=39000000000, B2=163105468633407300
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-04-02	Chang Chia-Tche	C-PRP	M6343/9045119/4330491176870143842412622951/104996922777490274230579102690935672313/6456522500197916651981444125287501641378153 : C8D99478865E7D82 PRP: Verified PRP without proof (small exponent)
2021-03-28	Joe S.	C-PRP	M6343/9045119/4330491176870143842412622951/104996922777490274230579102690935672313 : C8D99478865E7D82 PRP: Verified PRP without proof (small exponent)
2021-03-26	mikr	C-PRP	M6343/9045119/4330491176870143842412622951/104996922777490274230579102690935672313/6456522500197916651981444125287501641378153 : C8D99478865E7D82 PRP: Verified PRP without proof (small exponent)
2021-03-26	Ryan Propper	F-ECM	Factor: 6456522500197916651981444125287501641378153 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=15180525085435902918)
2021-03-25	mnd9	C-PRP	M6343/9045119/4330491176870143842412622951/104996922777490274230579102690935672313 : C8D99478865E7D82 PRP: Verified PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 104996922777490274230579102690935672313 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=12437465977338842974)
2020-04-17	Oliver Kruse	C-PRP	M6343/9045119/4330491176870143842412622951 : C8D99478865E7D82 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6343/9045119/4330491176870143842412622951 : ECDE500732A88C41 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6343/9045119/4330491176870143842412622951 : ECDE500732A88C41 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6343/9045119/4330491176870143842412622951 : ECDE500732A88C41 PRP without proof (not generated)