A254461 Prime(n) is included iff prime(n) + n^3 is also prime.

2, 3, 7, 13, 89, 139, 151, 317, 397, 443, 503, 541, 569, 619, 641, 659, 733, 827, 881, 911, 953, 1091, 1249, 1439, 1451, 1627, 1693, 1783, 2143, 2393, 2663, 2707, 2753, 2861, 2903, 2969, 3023, 3119, 3413, 3727, 4003, 4243, 4259, 4457, 4513, 4673, 4973, 5077

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Formula

a(n) = prime(A141526(n)). - Michel Marcus, Feb 04 2015

Example

7 is in this sequence because 7+64=71.
13 is in this sequence because 13+216=229.

Mathematica

Prime[Select[Range[700], PrimeQ[Prime[#] + #^3] &]]

Prog

(Magma) [NthPrime(n): n in [1..700] | IsPrime(NthPrime(n)+n^3)];

Crossrefs

Cf. A253971.

Sequence in context: A065508 A078154 A192611 * A048463 A006695 A128157

Adjacent sequences: A254458 A254459 A254460 * A254462 A254463 A254464

Keyword

nonn

Author

Vincenzo Librandi, Feb 04 2015

Status

approved