The only other known numbers which fulfil these conditions are 496; 8128; 33,550,336; 8,589,869,056; 137,438,691,328; and 2,305,843,008,139,952,128. This most remarkable rarity of perfect numbers is a symbol of their perfection.

No. XXXIV.—CHESS CAMEO
By Emil Hoffmann

BLACK

WHITE

White to play, and mate in two moves. There are no less than twelve variations!

[Solution]

No. XXXV.—CHESS CAMEO
By J. Pospicil
A Prize Problem

BLACK