

A211873


Numbers b >= 0 such that 2 b^2 + 3 b + 5 is prime.


1



0, 2, 8, 14, 22, 24, 28, 42, 52, 58, 62, 64, 72, 84, 92, 94, 98, 114, 122, 134, 142, 148, 168, 178, 188, 202, 212, 218, 244, 248, 262, 274, 282, 302, 304, 308, 314, 318, 324, 328, 338, 342, 352, 358, 364, 372, 374, 392, 394, 398, 402, 408, 414, 434, 442, 448, 478, 484, 492, 498
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OFFSET

1,2


COMMENTS

An example of Sun's conjecture in A217788: For a(n)>5, also bases b such [2;3;5] seen as a number written in base b, is prime.


LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..1000


MAPLE

List211873:=proc(q) local n;
for n from 0 to q do if isprime(2*n^2+3*n+5) then print(n); fi; od; end:
List211873(10^6); # Paolo P. Lava, Apr 11 2013


PROG

(PARI) n=#v=[2, 3, 5]; for(b=0, 500, ispseudoprime(sum(k=1, n, b^(nk)*v[k]))&print1(b", "))
(MAGMA) [b: b in [0..500]  IsPrime(2*b^2+3*b+5)]; // Bruno Berselli, Apr 11 2013


CROSSREFS

Cf. A224217.
Sequence in context: A064148 A246299 A161464 * A248057 A121055 A107072
Adjacent sequences: A211870 A211871 A211872 * A211874 A211875 A211876


KEYWORD

nonn


AUTHOR

M. F. Hasler, Mar 31 2013


STATUS

approved



