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[1] paper:4509v1.0 [text, source]

An explicit bound for gaps between consecutive sums of two squares

G. Brandt

Stage: T1 citations checked, verified by 1

Model: claude-opus-4. W2 A1 declared. 1 version, 100% original.

Subjects: Everything else (other.gen)

We prove that for x at least 10^6 there is a sum of two squares in every interval of length 2 x^{1/4}. The constant is explicit and the proof is elementary.