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is true. The exponent c3 can be reduced by Selberg's improvement of Brun's method, but it seems hopeless at present to decide about (3) . Jacobsthal also informed me that for r <_ 10 the value of C(r) is determined by n,.= 2, 3 . . . . p,., the p's being the consecutive primes, and that this perhaps holds for all values of r . Possibly the value of g(n,.') for n,'=n =1p,á+1 is already considerably smaller than C(r) . In a previous paper [4] I estimated g(n) for integers n of a certain special form, e .g . if n is the product of the first r consecutive primes 3 (mod 4) . It is easy to see that for almost all integers satisfying v(n)=r we have

On the Integers Relatively Prime to $n$ and a Number-Theoretic Function Considered by Jacobsthal.