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Search: id:A164554
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| 2, 71, 101, 181, 239, 241, 269, 349, 373, 409, 419, 433, 439, 491, 593, 599, 601, 607, 647, 653, 659
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OFFSET
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1,1
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COMMENT
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For every n>=1, A104272(n)>=A080359(n). If Prime(m)<a(n)/2<Prime(m+1), then there exist primes p<q such that p is in the interval (2*Prime(m), a(n)) and q is in the interval (a(n), 2*Prime(m+1)).
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LINKS
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V. Shevelev, On critical small intervals containing primes [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Aug 20 2009]
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EXAMPLE
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a(2)=71, such that 31<71/2<37, and we see that p=67 is in interval (62,71) and q=73 is in interval (71, 74).
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CROSSREFS
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A104272 A080359 A164368 A164333 A164288 A164294
Sequence in context: A061144 A132566 A151686 this_sequence A140546 A141908 A157368
Adjacent sequences: A164551 A164552 A164553 this_sequence A164555 A164556 A164557
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KEYWORD
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nonn,uned
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Aug 15 2009
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