An antisquare number is a positive integer of the form 
that fails to be a square
number for the two reasons that 
is a prime number, 
is a positive odd
number, and 
is a positive integer that is a quadratic
nonresidue (mod p) (Conway 2009, p. 2).
The first few antisquare numbers are 6, 10, 15, 21, 22, 24, 26, 33, 35, 38, ... (OEIS
A080255).
See also
Square Number,
Squarefree,
Squareful
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References
Conway, J. H. "The Genus of a Quadratic Form." Arizona Winter School lecture notes, p. 2, 2009. https://swc-math.github.io/aws/2009/09ConwayNotesPrelim.pdf.Sloane,
N. J. A. Sequence A080255 in "The
On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Antisquare Number
Cite this as:
Weisstein, Eric W. "Antisquare Number."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AntisquareNumber.html
Subject classifications
