, Volume 128, Issue 4, pp 283-313

Squares of Primes and Powers of 2

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Abstract.

 As an extension of the Linnik-Gallagher results on the “almost Goldbach” problem, we prove, among other things, that there exists a positive integer k 0 such that every large even integer is a sum of four squares of primes and k 0 powers of 2.

(Received 7 September 1998; in revised form 3 May 1999)