A340307 - OEIS

A340307

Primes of the form (p*q+r*s)/2, where p,q,r,s are consecutive primes.

89, 149, 233, 907, 3607, 6577, 13007, 20771, 27241, 34631, 72907, 84737, 110933, 145177, 213449, 360007, 463787, 680633, 746507, 1192469, 1695209, 2205233, 2643899, 3125959, 3261721, 4888547, 4995227, 5716897, 6095987, 6656483, 7225349, 7734029, 7868027, 7969439, 8071307, 11189053, 11329991

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OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3) = 233 is a term because 233 = (11*13+17*19)/2.

MAPLE

q:= 3: r:= 5: s:= 7:

count:= 0: R:= NULL:

while count < 100 do

p:= q; q:= r; r:= s; s:= nextprime(s);