

A219048


Numbers n such that 3^n + 32 is prime.


16



2, 3, 4, 6, 23, 24, 38, 164, 172, 176, 207, 216, 251, 272, 424, 1112, 1318, 2072, 2664, 3143, 4704, 5236, 9526, 13064, 13523, 27111, 35931, 37504, 47542, 128656, 181551
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OFFSET

1,1


COMMENTS

a(32) > 2*10^5.  Robert Price, Nov 15 2013


LINKS

Table of n, a(n) for n=1..31.


EXAMPLE

For n=2, a(2)=3^2+32=41 and 41 is prime. Hence n=2 is included in the sequence.


MATHEMATICA

Do[If[PrimeQ[3^n + 32], Print[n]], {n, 10000}]


PROG

(PARI) is(n)=isprime(3^n+32) \\ 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: A217351 A274238 A115035 * A329577 A217442 A065199
Adjacent sequences: A219045 A219046 A219047 * A219049 A219050 A219051


KEYWORD

nonn,more


AUTHOR

Nicolas M. Perrault, Nov 10 2012


EXTENSIONS

a(23)a(31) from Robert Price, Nov 15 2013


STATUS

approved



