6 619 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
471762607	9	28.8	old
21795347760988883432721721594452049241	38	124.0	old
53191595117266738141758365426011668367431851609	47	155.2	2021-03-28 13:44:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3779 / 9201

Estimated T-Level: 42.1 ⓘ

TF below 2^135 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	DCD2BD6DE9857473	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DCD2BD6DE9857473	2	0	1	3
Verified (Factored)	2017-12-07	ATH	DCD2BD6DE9857473	2	4982	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8B47D73ABCC29C35	2	1744	5	3
Verified	2021-03-28	Conductor	52F8C7397E58968B	3	3358	1	3
Verified	2021-03-28	mikr	8B47D73ABCC29C35	3	4607	5	3
Verified	2021-03-29	Oliver Kruse	8B47D73ABCC29C35	3	1172	5	3
Verified	2024-07-09	kkmrkkblmbrbk	52F8C7397E58968B	3	3858	1	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=126/59, B1=1000000000, B2=999000000000
2025-03-13	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-07-09	kkmrkkblmbrbk	C-PRP	M6619/21795347760988883432721721594452049241/471762607/53191595117266738141758365426011668367431851609 : 52F8C7397E58968B PRP: Verified PRP without proof (small exponent)
2023-08-10	-Anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2021-03-29	Oliver Kruse	C-PRP	M6619/471762607/21795347760988883432721721594452049241/53191595117266738141758365426011668367431851609 : 8B47D73ABCC29C35 PRP: Verified PRP without proof (small exponent)
2021-03-28	mikr	C-PRP	M6619/471762607/21795347760988883432721721594452049241/53191595117266738141758365426011668367431851609 : 8B47D73ABCC29C35 PRP: Verified PRP without proof (small exponent)
2021-03-28	Conductor	C-PRP	M6619/471762607/21795347760988883432721721594452049241/53191595117266738141758365426011668367431851609 : 52F8C7397E58968B PRP: Verified PRP without proof (small exponent)
2021-03-28	Ryan Propper	F-ECM	Factor: 53191595117266738141758365426011668367431851609 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=8555108252412206730)
2020-04-17	Oliver Kruse	C-PRP	M6619/471762607/21795347760988883432721721594452049241 : 8B47D73ABCC29C35 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6619/471762607/21795347760988883432721721594452049241 : DCD2BD6DE9857473 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6619/471762607/21795347760988883432721721594452049241 : DCD2BD6DE9857473 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6619/known_factors : DCD2BD6DE9857473 PRP without proof (not generated)