7 457 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
19969847	8	24.3	old
7785883529	10	32.9	old
16694955311	11	34.0	old
283771620384216766466696041	27	87.9	old
3147673155038313316688980740298072826090321	43	141.2	2017-03-05 11:55:52

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	2451 / 16550

Estimated T-Level: 45.7 ⓘ

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	EF26CB3F2C4DBD9B	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	EF26CB3F2C4DBD9B	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	EF26CB3F2C4DBD9B	5	337	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F8B36CB8078F37BD	5	3633	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F8B36CB8078F37BD	5	3592	5	3

History

Date	User	Type	Result
2025-04-05	masser	NF-PP1	Start=122/13, B1=830000000, B2=829170000000
2025-03-26	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-17	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7457/19969847/7785883529/16694955311/283771620384216766466696041/3147673155038313316688980740298072826090321 : F8B36CB8078F37BD
2023-08-31	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7457/19969847/7785883529/16694955311/283771620384216766466696041/3147673155038313316688980740298072826090321 : F8B36CB8078F37BD
2017-12-07	ATH	C-PRP	M7457/19969847/7785883529/16694955311/283771620384216766466696041/3147673155038313316688980740298072826090321 : EF26CB3F2C4DBD9B
2017-10-02	kkmrkkblmbrbk	C-PRP	M7457/19969847/7785883529/16694955311/283771620384216766466696041/3147673155038313316688980740298072826090321 : EF26CB3F2C4DBD9B
2017-09-21	Oliver Kruse	C-PRP	M7457/known_factors : EF26CB3F2C4DBD9B
2017-03-05	kkmrkkblmbrbk	F-ECM	Factor: 3147673155038313316688980740298072826090321
2009-10-25	Carsten Kossendey	F	Factor: 333395703232507417
2002-08-17	Patrik Johansson	F-ECM	Factor: 283771620384216766466696041