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Omni-MATH / Let p=2²⁴⁰³⁶⁵⁸³−1, the largest prime currently known. For how many positive integers c do the quadratics …

Problem

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problem

Let p=224036583−1p=2^{24036583}-1, the largest prime currently known. For how many positive integers cc do the quadratics \pm x^{2} \pm p x \pm c all have rational roots?
Plain-text mathematical notation (without MathML)
Let p=2²⁴⁰³⁶⁵⁸³−1, the largest prime currently known. For how many positive integers c do the quadratics \pm x^{2} \pm p x \pm c all have rational roots?
Original LaTeX notation
Let $p=2^{24036583}-1$, the largest prime currently known. For how many positive integers $c$ do the quadratics \pm x^{2} \pm p x \pm c all have rational roots?

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Source and history

task_id
db57d06e-7ad5-5da6-bf28-cbf549191c9e
task_key
test--db57d06e-7ad5-5da6-bf28-cbf549191c9e
task_revision_id
1
config / split
/ test

Official source

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