12 547 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
3237127	7	21.6	old
915832985579080989486875639	27	89.6	2008-08-29 02:24:31
30510325977078182148866685483098716868303	41	134.5	2023-05-18 17:07:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1461 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	9D4C3F3DC4120D99	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	9D4C3F3DC4120D99	2	11716	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	49F2C7698A6ED723	2	7930	5	3
Verified	No proof (small exponent)	2023-05-18	Denial140	49F2C7698A6ED723	3	8079	5	3

History

Date	User	Type	Result
2025-03-13	masser	NF-PP1	Start=93/43, B1=430000000, B2=429570000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-18	Denial140	C-PRP	M12547/3237127/915832985579080989486875639/30510325977078182148866685483098716868303 : 49F2C7698A6ED723
2023-05-18	Denial140	F-ECM	Factor: 30510325977078182148866685483098716868303 / ECM curve 108, B1=3000000, B2=22972799850, Montgomery Sigma=4063321269034073
2023-05-13	Anton Repko	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12547/3237127/915832985579080989486875639 : 49F2C7698A6ED723
2017-10-12	kkmrkkblmbrbk	C-PRP	M12547/3237127/915832985579080989486875639 : 9D4C3F3DC4120D99
2017-09-21	Oliver Kruse	C-PRP	M12547/3237127/915832985579080989486875639 : 9D4C3F3DC4120D99
2017-09-21	Oliver Kruse	C-PRP	M12547/3237127/915832985579080989486875639 : 9D4C3F3DC4120D99
2008-08-29	-anonymous-	F-ECM	Factor: 915832985579080989486875639