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A074705
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a(1)=4; for n>1: number of primes between squares of (n-1)-th and (n+1)-th primes.
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1
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4, 7, 11, 21, 24, 31, 33, 38, 74, 63, 73, 101, 64, 66, 126, 158, 110, 122, 156, 96, 136, 181, 189, 277, 252, 131, 129, 129, 142, 454, 453, 264, 214, 348, 357, 240, 368, 314, 326, 393, 271, 432, 433, 221, 219, 538, 942, 647, 250, 248, 436, 360, 528, 713, 549
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Primes between A000040(3-1)^2=3*3=9 and A000040(3+1)^2=7*7=49: {11,13,17,19,23,29,31,37,41,43,47}, therefore a(3)=11.
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MATHEMATICA
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Join[{4}, Last[#]-First[#]&/@Partition[PrimePi[Prime[Range[60]]^2], 3, 1]] (* Harvey P. Dale, Jun 13 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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