12 583 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
201329	6	17.6	old
805313	6	19.6	2008-08-26 19:58:37
4454383	7	22.1	2008-08-26 19:58:37
15090571601208738009065349346922469988343	41	133.5	2023-05-19 08:10:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1493 / 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	E2608251D7FFD8F2	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E2608251D7FFD8F2	3	1793	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	17C70794E4BB7A72	3	10097	5	3
Verified	No proof (small exponent)	2023-05-19	Denial140	17C70794E4BB7A72	4	9545	5	3

History

Date	User	Type	Result
2025-03-13	masser	NF-PP1	Start=191/61, B1=430000000, B2=429570000000
2025-02-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	Denial140	C-PRP	M12583/201329/805313/4454383/15090571601208738009065349346922469988343 : 17C70794E4BB7A72
2023-05-19	Denial140	F-ECM	Factor: 15090571601208738009065349346922469988343 / ECM curve 154, B1=3000000, B2=21093000000, Montgomery Sigma=7025521027414154
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	M12583/201329/805313/4454383 : 17C70794E4BB7A72
2017-10-12	kkmrkkblmbrbk	C-PRP	M12583/201329/805313/4454383 : E2608251D7FFD8F2
2017-09-21	Oliver Kruse	C-PRP	M12583/201329/805313/4454383 : E2608251D7FFD8F2
2017-09-21	Oliver Kruse	C-PRP	M12583/201329/805313/4454383 : E2608251D7FFD8F2
2008-08-26	-anonymous-	F	Factor: 4454383
2008-08-26	-anonymous-	F	Factor: 805313