12 503 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
712996079	9	29.4	old
7242788567782571599	19	62.7	2008-08-29 02:24:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1446 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	86505D5CDDCB835A	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	86505D5CDDCB835A	2	8026	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EBDCAD93AEC2B655	2	7731	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	EBDCAD93AEC2B655	2	7365	5	3

History

Date	User	Type	Result
2025-03-15	masser	NF-PP1	Start=135/23, B1=430000000, B2=429570000000
2025-02-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12503/712996079/7242788567782571599 : EBDCAD93AEC2B655
2023-05-13	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12503/712996079/7242788567782571599 : EBDCAD93AEC2B655
2017-10-12	kkmrkkblmbrbk	C-PRP	M12503/712996079/7242788567782571599 : 86505D5CDDCB835A
2017-09-21	Oliver Kruse	C-PRP	M12503/712996079/7242788567782571599 : 86505D5CDDCB835A
2017-09-21	Oliver Kruse	C-PRP	M12503/712996079/7242788567782571599 : 86505D5CDDCB835A
2008-08-29	-anonymous-	F-ECM	Factor: 7242788567782571599