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Omni-MATH / Find the smallest prime number p that cannot be represented in the form |3^(a)−2^(b)|, where a and b are non-negative integers.

Problem

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problem

Find the smallest prime number

p

that cannot be represented in the form

|3^{a} - 2^{b}|

, where

a

and

b

are non-negative integers.

Plain-text mathematical notation (without MathML)

Find the smallest prime number p that cannot be represented in the form |3^(a)−2^(b)|, where a and b are non-negative integers.

Original LaTeX notation

Find the smallest prime number $p$ that cannot be represented in the form $|3^{a} - 2^{b}|$, where $a$ and $b$ are non-negative integers.

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task_id: 6911dd08-a3c9-598c-92ef-886945818f8b
task_key: test--6911dd08-a3c9-598c-92ef-886945818f8b
task_revision_id: 3
config / split: / test

Official source

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