14 303 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
28607	5	14.8	old
715151	6	19.4	2008-08-26 19:58:42
30400856580361	14	44.8	2008-08-26 19:58:42
161908098761816257471	21	67.1	2008-08-29 02:24:34

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1426 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A16CE186AE986C59	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A16CE186AE986C59	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A16CE186AE986C59	4	1987	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A9235B89F08EBA31	4	9461	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	A9235B89F08EBA31	1	2171	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A9235B89F08EBA31	4	12056	5	3

History

Date	User	Type	Result
2025-02-13	masser	NF-PP1	Start=138/53, B1=355000000, B2=354645000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-18	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14303/161908098761816257471/28607/30400856580361/715151 : A9235B89F08EBA31
2024-01-29	-anonymous-	F-PM1	Factor: 161908098761816257471 / B1=100000000000, B2=122154521813133810
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-05-12	Jorge Coveiro	C-PRP	M14303/28607 : A9235B89F08EBA31
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14303/28607/715151/30400856580361/161908098761816257471 : A9235B89F08EBA31
2017-12-07	ATH	C-PRP	M14303/28607/715151/30400856580361/161908098761816257471 : A16CE186AE986C59
2017-10-02	kkmrkkblmbrbk	C-PRP	M14303/28607/715151/30400856580361/161908098761816257471 : A16CE186AE986C59
2017-09-21	Oliver Kruse	C-PRP	M14303/28607/715151/30400856580361/161908098761816257471 : A16CE186AE986C59
2008-08-29	-anonymous-	F-ECM	Factor: 161908098761816257471
2008-08-26	-anonymous-	F-PM1	Factor: 30400856580361
2008-08-26	-anonymous-	F	Factor: 715151