7 993 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2066542193	10	30.9	old
426338754889	12	38.6	old
1788540904159	13	40.7	old
203880762068279	15	47.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6095 / 9201

Estimated T-Level: 43.3 ⓘ

TF below 2^139 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	6265F17BB18B1A3D	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	6265F17BB18B1A3D	4	0	1	3
Verified	2017-12-07	ATH	6265F17BB18B1A3D	4	4909	1	3
Verified	2020-04-17	Oliver Kruse	7D0169C889C3E5F1	4	4443	5	3
Verified	2024-07-01	kkmrkkblmbrbk	7D0169C889C3E5F1	4	7121	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M7993/1788540904159/203880762068279/2066542193/426338754889 : 7D0169C889C3E5F1 PRP: Verified PRP without proof (small exponent)
2023-05-25	JacobZ	NF-PM1	B1=59000000000, B2=236984939060469600
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7993/2066542193/426338754889/1788540904159/203880762068279 : 7D0169C889C3E5F1 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7993/2066542193/426338754889/1788540904159/203880762068279 : 6265F17BB18B1A3D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7993/2066542193/426338754889/1788540904159/203880762068279 : 6265F17BB18B1A3D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7993/known_factors : 6265F17BB18B1A3D PRP without proof (not generated)