A076044 Largest a(n) values with at most n primes between a(n) and a(n)+sqrt(a(n)).

116, 1330, 2481, 2558, 5929, 7371, 9961, 10743, 23378, 35608, 35612, 38361, 44286, 46902, 69503, 69545, 88024, 107359, 110087, 110099, 113386, 126860, 250172, 250180, 250186, 250202, 267969, 267975, 285846, 285858, 302013, 302017, 360346, 369213, 404562, 404574, 484650, 484654, 514893, 561443, 561481, 561509, 561533, 638194, 638208, 650020, 682490, 713634, 713636

Offset

0,1

Comments

Conjecture: for every m greater than a(n), there are more than n primes between m and m+sqrt(m); true if a(n) less than 1000000.

References

P. Ribenboim, The Little Book of Big Primes, Springer-Verlag, 1991, p. 143

Links

Table of n, a(n) for n=0..48.

Example

a(3)=2558 because there are three primes between 2558 and int(2558+sqrt 2558)= 2608 and for every larger number there are more than 3 primes in the respective interval.

Crossrefs

Sequence in context: A097231 A203251 A238924 * A241941 A202903 A193170

Adjacent sequences: A076041 A076042 A076043 * A076045 A076046 A076047

Keyword

nonn

Author

Adam Kertesz, Oct 28 2002

Status

approved