12 659 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
2440047569	10	31.2	old
47013095473	11	35.5	2008-08-26 19:58:38
12663272893543	14	43.5	2008-08-26 19:58:38
603769477532120548800875459065471	33	108.9	2009-12-31 16:22:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1465 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	0B663B2AA21D650F	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	0B663B2AA21D650F	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	0B663B2AA21D650F	4	6460	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	66AA224437CF164B	4	3303	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	66AA224437CF164B	4	3353	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=113/47, B1=430000000, B2=429570000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12659/12663272893543/2440047569/47013095473/603769477532120548800875459065471 : 66AA224437CF164B
2023-05-22	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12659/2440047569/47013095473/12663272893543/603769477532120548800875459065471 : 66AA224437CF164B
2017-12-07	ATH	C-PRP	M12659/2440047569/47013095473/12663272893543/603769477532120548800875459065471 : 0B663B2AA21D650F
2017-10-02	kkmrkkblmbrbk	C-PRP	M12659/2440047569/47013095473/12663272893543/603769477532120548800875459065471 : 0B663B2AA21D650F
2017-09-21	Oliver Kruse	C-PRP	M12659/2440047569/47013095473/12663272893543/603769477532120548800875459065471 : 0B663B2AA21D650F
2017-09-21	Oliver Kruse	C-PRP	M12659/2440047569/47013095473/12663272893543/603769477532120548800875459065471 : 0B663B2AA21D650F
2009-12-31	Matthias Wurtinger	F-ECM	Factor: 603769477532120548800875459065471
2008-08-26	-anonymous-	F	Factor: 12663272893543
2008-08-26	-anonymous-	F	Factor: 47013095473