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A140112 Primes of the form prime(x) + prime(x+1) + (prime(x+1)-prime(x))/2. 0
13, 37, 61, 71, 103, 131, 271, 277, 293, 311, 397, 457, 523, 541, 607, 743 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

5+7+(7-5)/2=5+7+1=13

MATHEMATICA

a = {}; Do[p1 = Prime[n]; p2 = Prime[n + 1]; p = p1 + p2 + (p2 - p1)/2; If[PrimeQ[p], AppendTo[a, p]], {n, 10^2}]; a

CROSSREFS

Sequence in context: A319969 A045809 A238675 * A089030 A141122 A068228

Adjacent sequences:  A140109 A140110 A140111 * A140113 A140114 A140115

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 21 2008

STATUS

approved

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Last modified July 12 17:40 EDT 2020. Contains 335665 sequences. (Running on oeis4.)