7 079 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
14159	5	13.8	old
56633	5	15.8	old
1486591	7	20.5	old
2728964937169775752549019383	28	91.1	old
7044163811463925707573881327	28	92.5	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	2838 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	9F152D29B323E71A	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9F152D29B323E71A	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9F152D29B323E71A	5	1439	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	272F12B96083D57E	5	395	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	272F12B96083D57E	1	5453	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	272F12B96083D57E	5	2484	5	3

History

Date	User	Type	Result
2025-03-25	masser	NF-PP1	Start=189/53, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M7079/14159/56633/1486591/2728964937169775752549019383/7044163811463925707573881327 : 272F12B96083D57E
2023-08-24	-anonymous-	NF-PM1	B1=34000000000, B2=142098478841769450
2022-05-12	Jorge Coveiro	C-PRP	M7079/14159 : 272F12B96083D57E
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7079/14159/56633/1486591/2728964937169775752549019383/7044163811463925707573881327 : 272F12B96083D57E
2017-12-07	ATH	C-PRP	M7079/14159/56633/1486591/2728964937169775752549019383/7044163811463925707573881327 : 9F152D29B323E71A
2017-10-02	kkmrkkblmbrbk	C-PRP	M7079/14159/56633/1486591/2728964937169775752549019383/7044163811463925707573881327 : 9F152D29B323E71A
2017-09-21	Oliver Kruse	C-PRP	M7079/known_factors : 9F152D29B323E71A
2009-10-25	Carsten Kossendey	F	Factor: 1192047740630377