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Search: id:A078754
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| A078754 |
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Numbers n such that for all m>n there are more than k primes between m and 2m (inclusive). |
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+0
1
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| 1, 8, 14, 20, 21, 26, 33, 35, 48, 50, 51, 63, 74, 75, 81, 86, 90, 111, 114, 116, 119, 120, 128, 134, 140, 153, 155, 168, 174, 183, 186, 200, 204, 209, 215, 216, 219, 230, 243, 245, 249, 284, 285, 288, 296, 299, 300, 303, 320, 321, 323, 326, 329, 338, 354, 363
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The terms shown are only conjectured values.
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EXAMPLE
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a(3)=14 because for m>14, more than 3 primes always exist between m and 2m (inclusive).
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PROGRAM
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(PARI) pn2n(n) = sum(k=n, 2*n, if(isprime(k), 1, 0)); { mpn2n(a, m, w)=local(k, M); for(n=a, m, M=0; k=0; while(k<w, if(pn2n(k)==n, M=k; k++, k++); ); print1(M" "); ) } mpn2n(1, 200, 1000)
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CROSSREFS
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Cf. A035250.
Sequence in context: A072835 A096229 A112277 this_sequence A068638 A025044 A125163
Adjacent sequences: A078751 A078752 A078753 this_sequence A078755 A078756 A078757
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jan 08 2003
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