A219035 Numbers k such that 3^k + 14 is prime.

1, 2, 3, 5, 6, 9, 10, 25, 98, 122, 153, 190, 258, 511, 549, 1703, 1790, 1870, 2418, 5226, 5258, 5626, 8550, 13174, 16718, 23669, 25215, 33447, 182566, 188286

Offset

1,2

Comments

a(31) > 2*10^5. - Robert Price, Sep 27 2013

Links

Table of n, a(n) for n=1..30.

Mathematica

Do[If[PrimeQ[3^n + 14], Print[n]], {n, 0, 10000}]

Prog

(PARI) is(n)=isprime(3^n+14) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

Cf. Sequences of numbers k such that 3^k + 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^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Sequence in context: A018365 A018278 A137809 * A273042 A014838 A026459

Adjacent sequences: A219032 A219033 A219034 * A219036 A219037 A219038

Keyword

nonn,more

Author

Nicolas M. Perrault, Nov 10 2012

Extensions

a(24)-a(30) from Robert Price, Sep 27 2013

Status

approved