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A089614
Number of primes between n^2 and (n+1/4)^2.
0
0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 3, 4, 2, 3, 4, 2, 4, 2, 5, 3, 2, 2, 2, 3, 3, 2, 2, 3, 2, 3, 5, 2, 3, 3, 2, 5, 4, 2, 4, 3, 4, 1, 3, 5, 3, 5, 6, 4, 5, 2, 3, 3, 6, 7, 6, 2, 5, 6, 2, 6, 4, 4, 3, 5, 3, 7, 3, 6, 4, 6, 2, 6, 6, 6, 5, 7, 7, 6, 4, 4, 4, 6, 7, 6
OFFSET
1,10
MATHEMATICA
Table[PrimePi[(n+1/4)^2]-PrimePi[n^2], {n, 110}] (* Harvey P. Dale, Jun 17 2018 *)
PROG
(PARI) pbetweensq2(n) = { for(x=1, n, c=0; for(y=floor(x)^2, (x+1/4)^2, if(isprime(y), c++) ); print1(c", ") ) }
CROSSREFS
Sequence in context: A025862 A004540 A353945 * A064875 A216657 A328614
KEYWORD
easy,nonn
AUTHOR
Cino Hilliard, Dec 30 2003
STATUS
approved