12 347 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2666953	7	21.3	old
128774471308774563003133429083031504769	39	126.6	2019-08-08 04:45:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1251 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	D5F55B7E6CB85F7B	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D5F55B7E6CB85F7B	1	1042	1	3
Verified	2019-08-08	_p95holder_	E4C67F57C1E9B621	2	2837	5	3
Verified	2019-08-08	GAN	E4C67F57C1E9B621	2	1355	5	3

History

Date	User	Type	Result
2023-04-06	-Anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2019-08-08	GAN	C-PRP	M12347/2666953/128774471308774563003133429083031504769 : E4C67F57C1E9B621 PRP: Verified PRP without proof (small exponent)
2019-08-08	_p95holder_	C-PRP	M12347/2666953/128774471308774563003133429083031504769 : E4C67F57C1E9B621 PRP: Verified PRP without proof (small exponent)
2019-08-08	Niels_Mache_Nextcloud	F-ECM	Factor: 128774471308774563003133429083031504769 / (ECM curve 2, B1=3000000, B2=300000000, Sigma=6739972538100468)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12347/2666953 : D5F55B7E6CB85F7B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12347/2666953 : D5F55B7E6CB85F7B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12347/2666953 : D5F55B7E6CB85F7B PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12