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%I #8 Feb 18 2022 05:17:13
%S 101,577,677,2203,15877,22501,25609,32401,42061,57601,72901,181501,
%T 228211,324901,378229,394393,462409,695581,804709,1664101,1742401,
%U 1971241,2873029,3062509,3186229,4137181,4305661,4347229,4804889,5336101,6200269,6502501,7177693,7209229
%N Prime averages of two successive perfect prime powers.
%H Amiram Eldar, <a href="/A131697/b131697.txt">Table of n, a(n) for n = 1..1000</a>
%e 101 is the average of 81 and 121.
%t a = Select[ Range[2, 10000000], ! PrimeQ[ # ] && Length[FactorInteger[ # ]] == 1 &]; sizea = Length[a]; (a[[Select[Range[sizea - 1], PrimeQ[(a[[ # ]] + a[[ # + 1]])/2] &]]] + a[[Select[Range[sizea - 1], PrimeQ[(a[[ # ]] + a[[ # + 1]])/2] &] + 1]])/2
%Y Cf. A000961, A075455 (Prime averages of two successive perfect powers).
%K nonn
%O 1,1
%A _Tanya Khovanova_, Sep 15 2007
%E More terms from _Amiram Eldar_, Feb 18 2022
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