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A079636
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Smallest number whose reciprocal fits in the square-root gap of consecutive primes.
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0
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4, 2, 3, 2, 4, 2, 5, 3, 2, 6, 2, 4, 7, 4, 3, 3, 8, 3, 5, 9, 3, 5, 4, 3, 5, 11
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OFFSET
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1,1
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COMMENTS
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Is the limit of sqrt(P_(n+1)) - sqrt(P_n) 0?
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REFERENCES
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Jim Ferry, sci.math, Jan 30 2003
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LINKS
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FORMULA
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a(n) = ceiling(1/(w'-w)) where w=sqrt(p(n)) and w'=sqrt(p(n+1))
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EXAMPLE
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a(3) = 3 because p(3)=5, p(4)=7, w=sqrt(5) w'=sqrt(7) and 1/(w'-w)=2.44.
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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