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Omni-MATH / Compute the sum of all integers 1≤a≤10 with the following property: there exist integers p and q such that p,q,p²+a and q²+a are all distinct prime numbers.

Problem

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problem

Compute the sum of all integers 1≤a≤101 \leq a \leq 10 with the following property: there exist integers pp and qq such that p,q,p2+ap, q, p^{2}+a and q2+aq^{2}+a are all distinct prime numbers.
Plain-text mathematical notation (without MathML)
Compute the sum of all integers 1≤a≤10 with the following property: there exist integers p and q such that p,q,p²+a and q²+a are all distinct prime numbers.
Original LaTeX notation
Compute the sum of all integers $1 \leq a \leq 10$ with the following property: there exist integers $p$ and $q$ such that $p, q, p^{2}+a$ and $q^{2}+a$ are all distinct prime numbers.

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Source and history

task_id
80cf0889-87c1-57cb-82e5-dc79f4289dc4
task_key
test--80cf0889-87c1-57cb-82e5-dc79f4289dc4
task_revision_id
1
config / split
/ test

Official source

initial import