12 721 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
338895581441	12	38.3	old
2170796518049	13	41.0	2008-08-26 19:58:38
5457173812591440734647471081131017	34	112.1	2010-01-04 00:03:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2167 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 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	EA09BE563F0CDE1B	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	EA09BE563F0CDE1B	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	EA09BE563F0CDE1B	3	11192	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	50C4CDD02C1C8855	3	4471	5	3
Verified	No proof (small exponent)	2023-05-24	reclux	50C4CDD02C1C8855	3	8346	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=106/29, 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
2023-05-24	reclux	C-PRP	M12721/338895581441/2170796518049/5457173812591440734647471081131017 : 50C4CDD02C1C8855
2023-05-24	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-14	JacobZ	NF-PM1	B1=8700000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12721/338895581441/2170796518049/5457173812591440734647471081131017 : 50C4CDD02C1C8855
2017-12-07	ATH	C-PRP	M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
2017-10-02	kkmrkkblmbrbk	C-PRP	M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
2017-09-21	Oliver Kruse	C-PRP	M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
2010-03-17	Never Odd Or Even	F-PM1	Factor: 5457173812591440734647471081131017
2010-01-04	Never Odd Or Even	F-ECM	Factor: 5457173812591440734647471081131017
2008-08-26	-anonymous-	F	Factor: 2170796518049