OFFSET
1,1
COMMENTS
Among first 2*10^6 primes there are 61953 terms of the sequence; e.g., a(60000)=31320053 and (31320053+31320061)/6=10440019=A000040(691876).
Except for the case 7-5=2 the minimal value of first differences is 4.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..10000
EXAMPLE
5+7=6*2, 7+11=6*3, 13+17=6*5, 19+23=6*7, 37+41=6*11, 67+71=6*23.
MATHEMATICA
Select[Prime[Range[1000]], PrimeQ[(# + NextPrime[#])/6] &]
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Jun 12 2017
STATUS
approved