A078764 List primes between (2n)^2 and (2n+1)^2.
5, 7, 17, 19, 23, 37, 41, 43, 47, 67, 71, 73, 79, 101, 103, 107, 109, 113, 149, 151, 157, 163, 167, 197, 199, 211, 223, 257, 263, 269, 271, 277, 281, 283, 331, 337, 347, 349, 353, 359, 401, 409, 419, 421, 431, 433, 439, 487, 491, 499, 503, 509, 521, 523, 577
Offset: 1
Examples
The 3 primes between 4^2=16 (even) and 5^2=25 (odd) are just a(3)=17, a(4)=19 and a(5)=23.
Programs
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Mathematica
f[n_] := Select[Range[(2n)^2, (2n + 1)^2], PrimeQ];Flatten@Array[f, 12] (* Ray Chandler, May 03 2007 *)
Extensions
Extended by Ray Chandler, May 03 2007
Comments