

A219045


Numbers n such that 3^n  26 is prime.


16



7, 10, 13, 22, 27, 30, 57, 62, 117, 255, 535, 651, 873, 998, 1502, 18145, 22766, 25770, 43558, 45663, 48058, 62887, 87477, 103585, 115802
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OFFSET

1,1


COMMENTS

a(26) > 2*10^5.  Robert Price, Nov 20 2013


LINKS

Table of n, a(n) for n=1..25.


EXAMPLE

For n=7, a(3)=3^726=2161 and 2161 is prime. Hence n=7 is included in the sequence.


MATHEMATICA

Do[If[PrimeQ[3^n  26], Print[n]], {n, 3, 10000}]


PROG

(PARI) is(n)=isprime(3^n26) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. Sequences of numbers n such that 3^n + m is prime:
(m = 2) A051783, (m = 2) A014224, (m = 4) A058958, (m = 4) A058959,
(m = 8) A217136, (m = 8) A217135, (m = 10) A217137, (m = 10) A217347,
(m = 14) A219035, (m = 14) A219038, (m = 16) A205647, (m = 16) A219039,
(m = 20) A219040, (m = 20) A219041, (m = 22) A219042, (m = 22) A219043,
(m = 26) A219044, (m = 26) A219045, (m = 28) A219046, (m = 28) A219047,
(m = 32) A219048, (m = 32) A219049, (m = 34) A219050, (m = 34) A219051. Note that if m is a multiple of 3, 3^n + m is also a multiple of 3 (for n greater than 0), and as such isn't prime.
Sequence in context: A007770 A212979 A114961 * A199427 A178508 A123834
Adjacent sequences: A219042 A219043 A219044 * A219046 A219047 A219048


KEYWORD

nonn,more


AUTHOR

Nicolas M. Perrault, Nov 10 2012


EXTENSIONS

a(16)a(25) from Robert Price, Nov 20 2013


STATUS

approved



