On the equation x₁² + x₂² + x₃² + x₄² = N with variables such that x₁ x₂ x₃ x₄ + 1 is an almost-prime
Todorova, T. L. · Tolev, D. I.
Original · EN
We consider Lagrange's equation x₁² + x₂² + x₃² + x₄² = N, where N is a sufficiently large and odd integer, and prove that it has a solution in natural numbers x₁,, x₄ such that x₁ x₂ x₃ x₄ + 1 has no more than 48 prime factors.
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