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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 016.20103

**Autor: ** Erdös, Paul

**Title: ** On the sum and difference of squares of primes. (In English)

**Source: ** J. London Math. Soc. 12, 133-136 (1937).

**Review: ** The author proves that, for suitable m, the equation m = p^{2}-q^{2} (p,q primes) has more than \exp**(**{c log m \over log log m}**)** solutions, and that, for suitable n, n = p^{2}+q^{2} (p,q prime) has more than \exp**(**{c log n\over (log log n)^{2}}**)** solutions. The proof is similar to that of the author's theorem as to representations by the sum of k k-th powers [J. London Math. Soc. 11, 133-136 (1936; Zbl 013.39003)].

**Reviewer: ** Wright (Aberdeen)

**Classif.: ** * 11P32 Additive questions involving primes

**Index Words: ** Number theory

**Citations: ** Zbl 013.39003

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