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A093864
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Consider the least k such that prime(k) > n*composite(k). Sequence gives prime(k).
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1
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11, 53, 173, 521, 1523, 4327, 11579, 31469, 85411, 229547, 614477, 1640461, 4393369, 11806297, 31656553, 84979847, 228346229, 614582509, 1654328267, 4457160931, 12016414601, 32419200013, 87508870037, 236325429049, 638490906857, 1725782162981, 4666340800001
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OFFSET
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1,1
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COMMENTS
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a(n) = prime(A073459(n)).
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LINKS
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Table of n, a(n) for n=1..27.
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EXAMPLE
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a(2) = 53 as 53 > 2*26 where 53 and 26 are respectively the 16th prime and composite numbers.
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PROG
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(PARI) nextcomposite(k)=if(k<3, 4, if(isprime(k), k+1, k));
(PARI) p=2; q=4; for(n=1, 19, while(p<=n*q, p=nextprime(p+1); q=nextcomposite(q+1)); print1(p, ", "));
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CROSSREFS
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Cf. A002808, A000040, A073459, A125075.
Sequence in context: A141893 A093198 A207361 * A139967 A227965 A196468
Adjacent sequences: A093861 A093862 A093863 * A093865 A093866 A093867
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy, Apr 19 2004
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EXTENSIONS
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Terms a(4) to a(19) and PARI code from Klaus Brockhaus, Apr 26 2004
Terms a(20) to a(23) from Klaus Brockhaus, Nov 19 2006
More terms from David Wasserman, Apr 20 2007
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STATUS
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approved
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