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A181423 Primes such that the square of the sum of itself and next prime, when added to 5, is a prime 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
[p(i)+p(i+1)]^2+5 is a prime.
LINKS
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
Sequence in context: A348228 A107199 A048209 * A146874 A145012 A360204
KEYWORD
nonn
AUTHOR
Carmine Suriano, Oct 18 2010
EXTENSIONS
Values 521, 547, 577, 769,.. inserted by R. J. Mathar, Oct 18 2010
STATUS
approved

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Last modified February 24 10:16 EST 2024. Contains 370294 sequences. (Running on oeis4.)