14 347 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
118318803697953874255006289	27	86.6	old
4477112313370678983928699621249	31	101.8	2017-06-06 21:21:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1264 / 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	2017-09-21	Oliver Kruse	9A6773D0618A2433	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	9A6773D0618A2433	2	0	1	3
Verified	2017-12-07	ATH	9A6773D0618A2433	2	13075	1	3
Unverified	2020-04-17	Oliver Kruse	3A1D4DB85845AF__	2	5967	5	3

P-1 factors

Date	Factor	B1	B2
2024-02-09	529726572939397517267559167845016614482020599636413034961	100000000000	122154521813133808

History

Date	User	Type	Result
2024-02-09	-Anonymous-	F-PM1	Factors: 118318803697953874255006289,4477112313370678983928699621249 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14347/118318803697953874255006289/4477112313370678983928699621249 : 3A1D4DB85845AF__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14347/118318803697953874255006289/4477112313370678983928699621249 : 9A6773D0618A2433 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14347/118318803697953874255006289/4477112313370678983928699621249 : 9A6773D0618A2433 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14347/118318803697953874255006289/4477112313370678983928699621249 : 9A6773D0618A2433 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14347/118318803697953874255006289/4477112313370678983928699621249 : 9A6773D0618A2433 PRP without proof (not generated)
2017-06-06	kkmrkkblmbrbk	F-ECM	Factor: 4477112313370678983928699621249 / (ECM curve 181, B1=1000000, B2=100000000)