12 823 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
512921	6	19.0	old
215554631	9	27.7	2008-08-26 19:58:38
15152990393	11	33.8	2008-08-26 19:58:38
296413800817	12	38.1	2008-08-26 19:58:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1587 / 9201

Estimated T-Level: 40.9 ⓘ

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	F0E89EAFDA2B8536	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F0E89EAFDA2B8536	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F0E89EAFDA2B8536	4	3413	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9A6582D027AD9CCD	4	3323	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9A6582D027AD9CCD	4	6899	5	3

History

Date	User	Type	Result
2025-03-04	masser	NF-PP1	Start=182/31, B1=430000000, B2=429570000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12823/15152990393/215554631/296413800817/512921 : 9A6582D027AD9CCD
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-15	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12823/512921/215554631/15152990393/296413800817 : 9A6582D027AD9CCD
2017-12-07	ATH	C-PRP	M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
2017-10-02	kkmrkkblmbrbk	C-PRP	M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
2017-09-21	Oliver Kruse	C-PRP	M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
2017-09-21	Oliver Kruse	C-PRP	M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
2008-08-26	-anonymous-	F	Factor: 296413800817
2008-08-26	-anonymous-	F	Factor: 15152990393
2008-08-26	-anonymous-	F	Factor: 215554631