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A164130 Sums s of squares of three consecutive primes, such that s-+2 are primes. 0
195, 5739, 18459, 32259, 33939, 60291, 74019, 169491, 187131, 244899, 276819, 388179, 783531, 902139, 3588339, 5041491, 5145819, 5193051, 8687091, 9637491, 10227291, 10910019, 11341491, 11757339, 14834379, 15354651, 16115091 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..27.

FORMULA

A133529 INTERSECT A087679. [R. J. Mathar, Aug 27 2009]

EXAMPLE

5^2 + 7^2 + 11^2 = 195 is a sum of the squared consecutive primes 5, 7 and 11, and 193 and 197 are primes, so 195 is a member of the sequence.

MATHEMATICA

lst={}; Do[p=Prime[n]^2+Prime[n+1]^2+Prime[n+2]^2; If[PrimeQ[p-2]&&PrimeQ[p+2], AppendTo[lst, p]], {n, 8!}]; lst

CROSSREFS

Cf. A075893, A133529, A133530, A034962, A164129

Sequence in context: A066232 A284960 A226105 * A084232 A145305 A174890

Adjacent sequences:  A164127 A164128 A164129 * A164131 A164132 A164133

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Aug 10 2009

EXTENSIONS

Comment turned into example by R. J. Mathar, Aug 27 2009

STATUS

approved

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Last modified November 28 08:12 EST 2021. Contains 349401 sequences. (Running on oeis4.)