6 421 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5689007	7	22.4	old
20533981288558682247752012528450245873943	41	133.9	2021-03-25 11:35:11

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)	2017-09-21	Oliver Kruse	E9C395A6F3656367	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E9C395A6F3656367	1	4526	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	CACB07D07405EA65	1	6366	5	3
Verified	2021-03-26	mnd9	CACB07D07405EA65	2	6178	5	3
Verified	2021-03-28	Joe S.	CACB07D07405EA65	2	285	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
2021-03-28	Joe S.	C-PRP	M6421/5689007/20533981288558682247752012528450245873943 : CACB07D07405EA65 PRP: Verified PRP without proof (small exponent)
2021-03-26	mnd9	C-PRP	M6421/5689007/20533981288558682247752012528450245873943 : CACB07D07405EA65 PRP: Verified PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 20533981288558682247752012528450245873943 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=11647136966661139760)
2020-04-17	Oliver Kruse	C-PRP	M6421/5689007 : CACB07D07405EA65 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6421/5689007 : E9C395A6F3656367 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6421/5689007 : E9C395A6F3656367 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6421/5689007 : E9C395A6F3656367 PRP without proof (not generated)