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A075455 Prime averages of two successive perfect powers (pp(n) + pp(n+1))/2. 1

%I

%S 2203,77983,90863,185477,371087,388573,613607,912349,1293899,1600919,

%T 2146457,30661333,35608189,48823147

%N Prime averages of two successive perfect powers (pp(n) + pp(n+1))/2.

%e 2203 = (pp(61)+pp(62))/2=(2197+2209)/2.

%t a = Select[Range[2, 50000000], GCD @@ (Transpose[FactorInteger[ # ]][[2]]) > 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 - _Tanya Khovanova_, Sep 15 2007

%K easy,nonn

%O 1,1

%A _Zak Seidov_, Oct 11 2002

%E More terms from _Tanya Khovanova_, Sep 15 2007

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Last modified June 19 06:47 EDT 2019. Contains 324218 sequences. (Running on oeis4.)