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5, 16, 40, 98, 241, 591, 1393, 3386, 8313, 20393, 50189, 123972, 308917, 776173, 1953900, 4942615, 12556599, 32045879, 82012870, 210587095, 542262360, 1400124552, 3623612454, 9398492120, 24425121427, 63595807021, 165867439024
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OFFSET
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1,1
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COMMENTS
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Smallest k such that prime(k) > n*composite(k).
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LINKS
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EXAMPLE
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n=39: p(39)=167, c(39)=56, q=2.98; n=40: p(40)=173, c(40)=57, q=3.035, so a(3)=40.
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MATHEMATICA
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f[x_] := Floor[Prime[x] / FixedPoint[x + PrimePi[ # ] + 1 &, x]]; t=Table[0, {30}]; Do[ s = f[n]; If[ s < 31 && t[[s]]==0, t[[s]] = n], {n, 1000000}]; t
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PROG
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(PARI) nextcomposite(k)=if(k<3, 4, if(isprime(k), k+1, k));
(PARI) k=1; p=2; q=4; for(n=1, 19, while(p<=n*q, p=nextprime(p+1); q=nextcomposite(q+1); k++); print1(k, ", "))
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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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