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A129189
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n-th prime + n-th composite - n.
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1
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5, 7, 10, 12, 16, 19, 24, 26, 30, 37, 40, 46, 50, 53, 57, 63, 69, 71, 78, 83, 85, 91, 95, 101, 110, 114, 116, 121, 124, 128, 142, 147, 153, 155, 165, 167, 174, 180, 184, 190, 196, 199, 210, 212, 216, 218, 230, 243, 247, 249, 254, 261, 263, 273, 279, 285, 292, 294
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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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EXAMPLE
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n(1)=2+4-1, n(2)=3+6-2, n(3)=5+8-3, n(4)=7+9-4, n(5)=11+10-5.
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MAPLE
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c:=proc(n) if isprime(n)=false then n else fi end: C:=[seq(c(n), n=2..100)]: a:=n->ithprime(n)+C[n]-n: seq(a(n), n=1..74); # Emeric Deutsch, Apr 16 2007
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MATHEMATICA
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Module[{nn=80, prs, cmps, len}, prs=Prime[Range[nn]]; cmps=Complement[ Range[ 2, 2nn], prs]; len=Min[nn, Length[cmps]]; #[[1]]+#[[2]]-#[[3]]&/@ Thread[ {Take[ prs, len], Take[cmps, len], Range[len]}]] (* Harvey P. Dale, Oct 05 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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EXTENSIONS
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STATUS
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approved
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