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A075455 Prime averages of two successive perfect powers (pp(n) + pp(n+1))/2. 1
2203, 77983, 90863, 185477, 371087, 388573, 613607, 912349, 1293899, 1600919, 2146457, 30661333, 35608189, 48823147 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..14.

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

Sequence in context: A019297 A044989 A202894 * A233444 A125015 A252397

Adjacent sequences:  A075452 A075453 A075454 * A075456 A075457 A075458

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Oct 11 2002

EXTENSIONS

More terms from Tanya Khovanova, Sep 15 2007

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)