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Omni-MATH / Compute the sum of all positive integers n such that 50≤n≤100 and 2n+3 does not divide 2^(n!)−1.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Compute the sum of all positive integers nn such that 50≤n≤10050 \leq n \leq 100 and 2n+32 n+3 does not divide 2n!−12^{n!}-1.
Plain-text mathematical notation (without MathML)
Compute the sum of all positive integers n such that 50≤n≤100 and 2n+3 does not divide 2^(n!)−1.
Original LaTeX notation
Compute the sum of all positive integers $n$ such that $50 \leq n \leq 100$ and $2 n+3$ does not divide $2^{n!}-1$.

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Source and history

task_id
d61bbd99-23dc-599f-936d-3c9057276175
task_key
test--d61bbd99-23dc-599f-936d-3c9057276175
task_revision_id
1
config / split
/ test

Official source

initial import