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Omni-MATH / What is the smallest positive integer n which cannot be written in any of the following forms? - n=1+2+⋯+k for a positive integer k. - n=p^(k) for a prime number p and integer k - …

Problem

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problem

What is the smallest positive integer nn which cannot be written in any of the following forms? - n=1+2+⋯+kn=1+2+\cdots+k for a positive integer kk. - n=pkn=p^{k} for a prime number pp and integer kk - n=p+1n=p+1 for a prime number pp. - n=pqn=p q for some distinct prime numbers pp and qq
Plain-text mathematical notation (without MathML)
What is the smallest positive integer n which cannot be written in any of the following forms? - n=1+2+⋯+k for a positive integer k. - n=p^(k) for a prime number p and integer k - n=p+1 for a prime number p. - n=pq for some distinct prime numbers p and q
Original LaTeX notation
What is the smallest positive integer $n$ which cannot be written in any of the following forms? - $n=1+2+\cdots+k$ for a positive integer $k$. - $n=p^{k}$ for a prime number $p$ and integer $k$ - $n=p+1$ for a prime number $p$. - $n=p q$ for some distinct prime numbers $p$ and $q$

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Source and history

task_id
1b98c7b8-23dc-5567-9344-7e4d9591dac0
task_key
test--1b98c7b8-23dc-5567-9344-7e4d9591dac0
task_revision_id
1
config / split
/ test

Official source

initial import