6 427 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
10951609	8	23.4	old
3959918927	10	31.9	old
52235468209	11	35.6	old
104899805350908266590301708261455759	36	116.3	old
9571109893450658362251404473324459425138140983367	49	162.7	2021-03-27 16:50:15

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	D803729189C9F3E0	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D803729189C9F3E0	4	0	1	3
Verified (Factored)	2017-12-07	ATH	D803729189C9F3E0	4	6191	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	57D8C2AAE6F89B56	4	3238	5	3
Verified	2021-03-29	mnd9	57D8C2AAE6F89B56	5	4343	5	3
Verified	2021-03-30	rbanov	57D8C2AAE6F89B56	5	1857	5	3
Verified	2021-03-30	mnd9	57D8C2AAE6F89B56	5	1698	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	mnd9	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759/9571109893450658362251404473324459425138140983367 : 57D8C2AAE6F89B56 PRP: Verified PRP without proof (small exponent)
2021-03-30	rbanov	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759/9571109893450658362251404473324459425138140983367 : 57D8C2AAE6F89B56 PRP: Verified PRP without proof (small exponent)
2021-03-29	mnd9	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759/9571109893450658362251404473324459425138140983367 : 57D8C2AAE6F89B56 PRP: Verified PRP without proof (small exponent)
2021-03-27	Ryan Propper	F-ECM	Factor: 9571109893450658362251404473324459425138140983367 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=11681063141336348951)
2020-04-17	Oliver Kruse	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759 : 57D8C2AAE6F89B56 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759 : D803729189C9F3E0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6427/10951609/3959918927/52235468209/104899805350908266590301708261455759 : D803729189C9F3E0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6427/known_factors : D803729189C9F3E0 PRP without proof (not generated)