7 243 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
616371151999917979410919391	27	89.0	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	2626 / 16550

Estimated T-Level: 45.8 ⓘ

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	2AF375B1F2BBDFF2	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2AF375B1F2BBDFF2	1	6844	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B751C21E78DA7BD8	1	7064	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B751C21E78DA7BD8	1	3559	5	3

History

Date	User	Type	Result
2025-04-11	masser	NF-PP1	Start=92/13, B1=830000000, B2=829170000000
2025-03-23	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-15	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7243/616371151999917979410919391 : B751C21E78DA7BD8
2023-08-27	-anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7243/616371151999917979410919391 : B751C21E78DA7BD8
2017-10-12	kkmrkkblmbrbk	C-PRP	M7243/616371151999917979410919391 : 2AF375B1F2BBDFF2
2017-09-21	Oliver Kruse	C-PRP	M7243/616371151999917979410919391 : 2AF375B1F2BBDFF2
2017-09-21	Oliver Kruse	C-PRP	M7243/616371151999917979410919391 : 2AF375B1F2BBDFF2
2000-02-23	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53