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A304292 Primes p such that p + q^2 + r^3 is also prime, where p, q and r are consecutive primes. 2
31, 71, 79, 83, 89, 131, 137, 163, 179, 191, 251, 281, 331, 373, 401, 479, 569, 619, 659, 673, 701, 821, 881, 911, 929, 941, 947, 1093, 1291, 1301, 1373, 1409, 1459, 1481, 1559, 1583, 1657, 1811, 1907, 1973, 1987, 2003, 2089, 2243, 2309, 2339, 2341, 2357, 2423 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Similar to A259772 where the condition is p and p^3 + q^2 + r both prime.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1) = 31 is prime and 31 + 37^2 + 41^3 = 70321 is prime too.

a(2) = 71 is prime and 71 + 73^2 + 79^3 = 498439 is prime too.

MAPLE

select(n->isprime(n) and isprime(n+nextprime(n)^2+nextprime(nextprime(n))^3), [$1..2500]);

MATHEMATICA

Select[Partition[Prime@ Range@ 400, 3, 1], PrimeQ[#1 + #2^2 + #3^3] & @@ # &][[All, 1]] (* Michael De Vlieger, May 27 2018 *)

CROSSREFS

Cf. A259772.

Sequence in context: A109309 A263242 A294625 * A127191 A003542 A055781

Adjacent sequences:  A304289 A304290 A304291 * A304293 A304294 A304295

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, May 15 2018

STATUS

approved

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Last modified November 16 22:05 EST 2019. Contains 329208 sequences. (Running on oeis4.)