7 537 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
723553	6	19.5	old
959387256518973415188253705878502640200892175380071561	54	179.3	2025-02-10 02:17:23

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	12961 / 16550

Estimated T-Level: 48.9 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	8AE7EF6A9DCDBC31	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	8AE7EF6A9DCDBC31	1	3599	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	B453EA880E769972	1	722	5	3
Factored	No proof (small exponent)	2024-02-03	Wentao Huang	B453EA880E769972	1	4971	5	3
Verified	No proof (small exponent)	2025-02-10	nordi	B453EA880E769972	2	3978	5	3

History

Date	User	Type	Result
2025-05-26	masser	NF-PP1	Start=195/71, B1=1300000000, B2=1298700000000
2025-02-10	nordi	C-PRP	M7537/723553/959387256518973415188253705878502640200892175380071561 : B453EA880E769972
2025-02-10	nordi	F-ECM	Factor: 959387256518973415188253705878502640200892175380071561 / ECM curve 547, B1=110000000, B2=4345459843725, Edwards Sigma=5724191184192033
2024-11-09	masser	NF-PM1	B1=50000000000, B2=227960449185719250
2024-02-03	Wentao Huang	C-PRP	M7537/723553 : B453EA880E769972
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7537/723553 : B453EA880E769972
2017-10-12	kkmrkkblmbrbk	C-PRP	M7537/723553 : 8AE7EF6A9DCDBC31
2017-09-21	Oliver Kruse	C-PRP	M7537/723553 : 8AE7EF6A9DCDBC31
2017-09-21	Oliver Kruse	C-PRP	M7537/723553 : 8AE7EF6A9DCDBC31