12 323 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
41208113	8	25.3	old
62107921	8	25.9	2008-08-26 19:58:36
357514830790342636559831681	27	88.2	2008-10-25 20:59:11
8344359199209801882854044879631	31	102.7	2010-04-04 22:25:47
942061366959424043511036498234889	33	109.5	2009-11-30 16:09:34

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	120417199046794656

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	59260EFD396FED02	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	59260EFD396FED02	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	59260EFD396FED02	5	4649	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	35FD2FDC36F9413D	5	1438	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	35FD2FDC36F9413D	5	6800	5	3

History

Date	User	Type	Result
2025-03-06	masser	NF-PP1	Start=96/71, B1=430000000, B2=429570000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12323/357514830790342636559831681/41208113/62107921/8344359199209801882854044879631/942061366959424043511036498234889 : 35FD2FDC36F9413D
2023-04-06	-anonymous-	F-PM1	Factor: 942061366959424043511036498234889 / B1=100000000000, B2=120417199046794650
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M12323/41208113/62107921/357514830790342636559831681/8344359199209801882854044879631/942061366959424043511036498234889 : 35FD2FDC36F9413D
2017-12-07	ATH	C-PRP	M12323/41208113/62107921/357514830790342636559831681/8344359199209801882854044879631/942061366959424043511036498234889 : 59260EFD396FED02
2017-10-02	kkmrkkblmbrbk	C-PRP	M12323/41208113/62107921/357514830790342636559831681/8344359199209801882854044879631/942061366959424043511036498234889 : 59260EFD396FED02
2017-09-21	Oliver Kruse	C-PRP	M12323/41208113/62107921/357514830790342636559831681/942061366959424043511036498234889/8344359199209801882854044879631 : 59260EFD396FED02
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-04-04	James Hintz	F-ECM	Factor: 8344359199209801882854044879631
2009-11-30	Matthias Wurtinger	F-ECM	Factor: 942061366959424043511036498234889
2008-10-25	Will Edgington	F-ECM	Factor: 357514830790342636559831681
2008-08-26	-anonymous-	F	Factor: 62107921