An Abelian planar difference set of order
exists only for
a prime power. Gordon (1994) has verified it to be
true for
.
Prime Power Conjecture
See also
Difference Set, Planar Difference SetExplore with Wolfram|Alpha
References
Gordon, D. M. "The Prime Power Conjecture Is True forReferenced on Wolfram|Alpha
Prime Power ConjectureCite this as:
Weisstein, Eric W. "Prime Power Conjecture." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PrimePowerConjecture.html