7 523 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
14243534274472525406257	23	73.6	old
250069106903383620120138337	27	87.7	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	12574 / 16550

Estimated T-Level: 48.8 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	4AB0DDF46CCDC2E9	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4AB0DDF46CCDC2E9	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4AB0DDF46CCDC2E9	2	5383	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4D8A00ABB2CB8C75	2	3097	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	4D8A00ABB2CB8C75	2	1429	5	3

History

Date	User	Type	Result
2025-04-06	masser	NF-PP1	Start=160/13, B1=830000000, B2=829170000000
2025-03-28	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-18	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-09-05	masser	NF-PM1	B1=50000000000, B2=22621105270013250
2024-02-03	Wentao Huang	C-PRP	M7523/14243534274472525406257/250069106903383620120138337 : 4D8A00ABB2CB8C75
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7523/14243534274472525406257/250069106903383620120138337 : 4D8A00ABB2CB8C75
2017-12-07	ATH	C-PRP	M7523/14243534274472525406257/250069106903383620120138337 : 4AB0DDF46CCDC2E9
2017-10-02	kkmrkkblmbrbk	C-PRP	M7523/14243534274472525406257/250069106903383620120138337 : 4AB0DDF46CCDC2E9
2017-09-21	Oliver Kruse	C-PRP	M7523/known_factors : 4AB0DDF46CCDC2E9