Pseudo-squares: a(n) = the least nonsquare positive integer which is 1 mod 8 and is a (nonzero) quadratic residue modulo the first n odd primes.
17, 73, 241, 1009, 2641, 8089, 18001, 53881, 87481, 117049, 515761, 1083289
2 seqfan posts
Wed Jan 20 08:14:20 CET 2010 [seqfan] Re: New pseudosquares and pseudocubes found: to which OEIS seq are these additions