A181423 Primes such that the square of the sum of itself and next prime, when added to 5, is a prime

5, 17, 37, 79, 97, 101, 127, 181, 227, 229, 241, 283, 311, 359, 389, 397, 421, 457, 521, 547, 577, 631, 769, 787, 811, 821, 859, 967, 1021, 1039, 1051, 1109, 1153, 1327, 1399, 1429, 1447, 1523, 1579, 1597, 1699, 1721, 1723, 1787, 1871, 1997, 1999, 2081, 2141

Offset

1,1

Comments

[p(i)+p(i+1)]^2+5 is a prime.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

a(5)=97 since (97+101)^2+5=198^2+5=39204+5=39209 is a prime.

Mathematica

Transpose[Select[Partition[Prime[Range[400]], 2, 1], PrimeQ[Total[#]^2+ 5]&]] [[1]] (* Harvey P. Dale, Feb 15 2014 *)

Crossrefs

Cf. A000045, A181421, A181422

Sequence in context: A348228 A107199 A048209 * A146874 A145012 A360204

Adjacent sequences: A181420 A181421 A181422 * A181424 A181425 A181426

Keyword

nonn

Author

Carmine Suriano, Oct 18 2010

Extensions

Values 521, 547, 577, 769,.. inserted by R. J. Mathar, Oct 18 2010

Status

approved