6 397 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1944689	7	20.9	old
781292138484349048678001	24	79.4	old
111133653312954019604243183	27	86.5	old
28599899827919149248362783786114424885737	41	134.4	2016-11-17 01:09:46
2463103913027063553484464084699899123503994159	46	150.8	2021-03-27 16:50:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1291 / 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)	2017-09-20	kkmrkkblmbrbk	A1CF7C743D0167E2	4	0	1	3
Verified (Factored)	2017-09-25	George Woltman	A1CF7C743D0167E2	4	2873	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	A1CF7C743D0167E2	4	0	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F6A9374668F7D1FB	4	4538	5	3
Verified	2021-03-27	mikr	F6A9374668F7D1FB	5	3959	5	3
Verified	2021-03-30	rbanov	F6A9374668F7D1FB	5	3871	5	3

History

Date	User	Type	Result
2023-08-06	-Anonymous-	NF-PM1	B1=38000000000, B2=159110268557139900
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-03-30	rbanov	C-PRP	M6397/1944689/111133653312954019604243183/781292138484349048678001/28599899827919149248362783786114424885737/2463103913027063553484464084699899123503994159 : F6A9374668F7D1FB PRP: Verified PRP without proof (small exponent)
2021-03-27	mikr	C-PRP	M6397/1944689/781292138484349048678001/111133653312954019604243183/28599899827919149248362783786114424885737/2463103913027063553484464084699899123503994159 : F6A9374668F7D1FB PRP: Verified PRP without proof (small exponent)
2021-03-27	Ryan Propper	F-ECM	Factor: 2463103913027063553484464084699899123503994159 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=8231112045248714529)
2020-04-17	Oliver Kruse	C-PRP	M6397/1944689/781292138484349048678001/111133653312954019604243183/28599899827919149248362783786114424885737 : F6A9374668F7D1FB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6397/1944689/781292138484349048678001/111133653312954019604243183/28599899827919149248362783786114424885737 : A1CF7C743D0167E2 PRP: Verified PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M6397/known_factors : A1CF7C743D0167E2 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6397/1944689/781292138484349048678001/111133653312954019604243183/28599899827919149248362783786114424885737 : A1CF7C743D0167E2 PRP: Verified PRP without proof (not generated)
2016-11-17	kkmrkkblmbrbk	F-ECM	Factor: 28599899827919149248362783786114424885737 / (ECM curve 1941, B1=3000000, B2=300000000)