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 A079636 Smallest number whose reciprocal fits in the square-root gap of consecutive primes. 0
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Is the limit of sqrt(P_(n+1)) - sqrt(P_n) 0? REFERENCES Jim Ferry, sci.math, Jan 30 2003 LINKS FORMULA a(n) = ceiling(1/(w'-w)) where w=sqrt(p(n)) and w'=sqrt(p(n+1)) EXAMPLE a(3) = 3 because p(3)=5, p(4)=7, w=sqrt(5) w'=sqrt(7) and 1/(w'-w)=2.44. CROSSREFS Cf. A000040. Sequence in context: A068152 A182199 A217435 * A087229 A019614 A051528 Adjacent sequences:  A079633 A079634 A079635 * A079637 A079638 A079639 KEYWORD easy,nonn AUTHOR Rainer Rosenthal, Jan 30 2003 STATUS approved

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Last modified June 19 10:05 EDT 2013. Contains 226401 sequences.