12 457 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
11634839	8	23.5	old
302754929	9	28.2	2008-08-26 19:58:37
21191878965447717283473609937379178383	38	124.0	2023-04-03 06:45:49

P-1 factors

Date	Factors	B1	B2
2023-05-21	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	1449 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	F8CBAD865F3382FB	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F8CBAD865F3382FB	2	254	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	918AC60CE7E7452E	2	1955	5	3
Verified	No proof (small exponent)	2023-04-03	Kevin_9611	918AC60CE7E7452E	3	5624	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=182/41, B1=430000000, B2=429570000000
2025-02-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-21	-anonymous-	F-PM1	Factor: 21191878965447717283473609937379178383 / B1=100000000000, B2=120417199046794650
2023-04-08	Kevin_9611	NF-PM1	B1=10000000000, B2=100168819110360
2023-04-08	Kevin_9611	NF-PM1	B1=10000000000
2023-04-03	Kevin_9611	C-PRP	M12457/11634839/302754929/21191878965447717283473609937379178383 : 918AC60CE7E7452E
2023-04-03	Kevin_9611	F-ECM	Factor: 21191878965447717283473609937379178383 / ECM curve 35, B1=11000000, B2=2200000000, Montgomery Sigma=7606944743848125
2020-04-17	Oliver Kruse	C-PRP	M12457/11634839/302754929 : 918AC60CE7E7452E
2017-10-12	kkmrkkblmbrbk	C-PRP	M12457/11634839/302754929 : F8CBAD865F3382FB
2017-09-21	Oliver Kruse	C-PRP	M12457/11634839/302754929 : F8CBAD865F3382FB
2017-09-21	Oliver Kruse	C-PRP	M12457/11634839/302754929 : F8CBAD865F3382FB
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 302754929