7 529 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
105407	6	16.7	old
209170679	9	27.6	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	8611 / 16550

Estimated T-Level: 47.6 ⓘ

TF below 2^153 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	17D1CFBEE3FF989C	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	17D1CFBEE3FF989C	2	3358	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	05DA8632305458EB	2	5300	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	05DA8632305458EB	2	2695	5	3

History

Date	User	Type	Result
2025-04-10	masser	NF-PP1	Start=80/31, 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
2024-09-07	masser	NF-PM1	B1=50000000000, B2=22621105270013250
2024-02-03	Wentao Huang	C-PRP	M7529/105407/209170679 : 05DA8632305458EB
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7529/105407/209170679 : 05DA8632305458EB
2017-10-12	kkmrkkblmbrbk	C-PRP	M7529/105407/209170679 : 17D1CFBEE3FF989C
2017-09-21	Oliver Kruse	C-PRP	M7529/105407/209170679 : 17D1CFBEE3FF989C
2017-09-21	Oliver Kruse	C-PRP	M7529/105407/209170679 : 17D1CFBEE3FF989C