Mathematika

Research Article

On a problem of Erdös, Straus and Schinzel

R. C. Vaughana1

a1 Department of Pure Mathematics, University of Sheffield.

Erdös and Straus have conjectured that for every integer n > 1,

S0025579300002886_eqnU1

is soluble in positive integers x, y, z. Schinzel has conjectured that for every a > 0 if n > no(a),

S0025579300002886_eqn1

is soluble in positive integers x, y, z.

(Received February 06 1970)