10 529 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
60962911	8	25.9	old
37429900087	11	35.1	2008-08-26 19:58:32
23980982960111	14	44.4	2008-08-26 19:58:32
40642485585893751007307929	26	85.1	2008-08-29 02:24:26

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	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	991E5889ECD33BC4	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	991E5889ECD33BC4	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	991E5889ECD33BC4	4	5819	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8EAB2ED87E36BBF1	4	6416	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8EAB2ED87E36BBF1	4	5633	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=123/61, B1=640000000, B2=639360000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10529/23980982960111/37429900087/40642485585893751007307929/60962911 : 8EAB2ED87E36BBF1
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10529/60962911/37429900087/23980982960111/40642485585893751007307929 : 8EAB2ED87E36BBF1
2017-10-12	kkmrkkblmbrbk	C-PRP	M10529/60962911/37429900087/23980982960111/40642485585893751007307929 : 991E5889ECD33BC4
2017-10-02	kkmrkkblmbrbk	C-PRP	M10529/60962911/37429900087/23980982960111/40642485585893751007307929 : 991E5889ECD33BC4
2017-09-21	Oliver Kruse	C-PRP	M10529/known_factors : 991E5889ECD33BC4
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 40642485585893751007307929
2008-08-26	-anonymous-	F-PM1	Factor: 23980982960111
2008-08-26	-anonymous-	F	Factor: 37429900087