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A228543
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a(n) is the integer-valued average gap between successive primes from prime(1) to prime(k(n)), where k(n) = A049036(n).
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2
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1, 3, 5, 7, 7, 9, 13, 13, 13, 15, 15, 19, 19, 19, 19, 19, 21, 21, 27, 29, 31
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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For n=1 a(n)=(p(k(1))-2)/(k(1)-1), where k(1)=2, p(2)=3, and a(1)=1;
For n=2 a(n)=(p(k(2))-2)/(k(2)-1), where k(2)=10, p(10)=29, and a(2)=3;
For n=3 a(n)=(p(k(3))-2)/(k(3)-1), where k(3)=68, p(68)=337, and a(3)=5;
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MATHEMATICA
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a = {}; Do[s = (Prime[k] - 2)/(k - 1); If[IntegerQ[s], AppendTo[a, s]], {k, 2, 1000000000}]; a
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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