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A062773
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Index of the smallest prime which follows square of n-th prime.
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1
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3, 5, 10, 16, 31, 40, 62, 73, 100, 147, 163, 220, 264, 284, 330, 410, 488, 520, 610, 676, 706, 812, 887, 1001, 1164, 1253, 1295, 1382, 1424, 1524, 1878, 1977, 2142, 2191, 2490, 2548, 2730, 2916, 3044, 3242, 3437, 3513, 3869, 3946, 4090, 4165, 4628
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = PrimePi( nextprime( prime(n)^2 ) ).
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EXAMPLE
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100th prime, 541 immediately follows 529, square of 9th prime, a(9)=100.
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MATHEMATICA
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PrimePi[NextPrime[#]]&/@(Prime[Range[50]]^2) (* Harvey P. Dale, Apr 12 2023 *)
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PROG
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(PARI) { default(primelimit, 64000000); for (n=1, 1000, write("b062773.txt", n, " ", primepi(nextprime(prime(n)^2))) ) } \\ Harry J. Smith, Aug 10 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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