7 583 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
5889276287	10	32.5	old
17289232310839	14	44.0	old
52032160888679	14	45.6	old

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	12109 / 16550

Estimated T-Level: 48.7 ⓘ

TF below 2^157 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	454A05B7AA7FE3FB	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	454A05B7AA7FE3FB	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	454A05B7AA7FE3FB	3	6979	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	77CEFE8886AD56BD	3	6908	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	77CEFE8886AD56BD	3	3597	5	3

History

Date	User	Type	Result
2025-06-04	masser	NF-PM1	B1=60000000000, B2=216361952381675100
2025-04-11	masser	NF-PP1	Start=75/59, B1=830000000, B2=829170000000
2025-03-29	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-19	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-05	yuriy_5-1	NF-PM1	B1=6000000000, B2=20839189073312610
2024-02-03	Wentao Huang	C-PRP	M7583/5889276287/17289232310839/52032160888679 : 77CEFE8886AD56BD
2020-04-17	Oliver Kruse	C-PRP	M7583/5889276287/17289232310839/52032160888679 : 77CEFE8886AD56BD
2019-07-02	Ivan M	NF-PM1	B1=1000000000, B2=50000000000
2017-12-07	ATH	C-PRP	M7583/5889276287/17289232310839/52032160888679 : 454A05B7AA7FE3FB
2017-10-02	kkmrkkblmbrbk	C-PRP	M7583/5889276287/17289232310839/52032160888679 : 454A05B7AA7FE3FB
2017-09-21	Oliver Kruse	C-PRP	M7583/known_factors : 454A05B7AA7FE3FB