

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
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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



