3 593 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
21559	5	14.4	old
6086543	7	22.5	old
3602225914850036238001827277572728481310994794079	49	161.3	2018-11-06 16:57:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	12710 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 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	7B428201A9CB1C47	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	7B428201A9CB1C47	2	193	1	3
Verified	2018-11-06	rucio	1B69EE403ACF7A22	3	1290	5	3
Verified	2018-11-06	storm5510	1B69EE403ACF7A22	3	2432	5	3
Verified	2020-04-17	Oliver Kruse	1B69EE403ACF7A22	3	1517	5	3

History

Date	User	Type	Result
2022-06-24	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3593/21559/6086543/3602225914850036238001827277572728481310994794079 : 1B69EE403ACF7A22 PRP: Verified PRP without proof (small exponent)
2018-11-06	storm5510	C-PRP	M3593/21559/6086543/3602225914850036238001827277572728481310994794079 : 1B69EE403ACF7A22 PRP: Verified PRP without proof (small exponent)
2018-11-06	rucio	C-PRP	M3593/21559/6086543/3602225914850036238001827277572728481310994794079 : 1B69EE403ACF7A22 PRP: Verified PRP without proof (small exponent)
2018-11-06	eteo	F-ECM	Factor: 3602225914850036238001827277572728481310994794079 / (ECM curve 93, B1=110000000, B2=11000000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3593/21559/6086543 : 7B428201A9CB1C47 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3593/21559/6086543 : 7B428201A9CB1C47 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3593/21559/6086543 : 7B428201A9CB1C47 PRP without proof (not generated)