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Omni-MATH / Find the smallest positive integer b such that 1111_(b) ( 1111 in base b) is a perfect square. If no such b exists, write "No solution".

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problem

Find the smallest positive integer bb such that 1111b1111_{b} ( 1111 in base bb) is a perfect square. If no such bb exists, write "No solution".
Plain-text mathematical notation (without MathML)
Find the smallest positive integer b such that 1111_(b) ( 1111 in base b) is a perfect square. If no such b exists, write "No solution".
Original LaTeX notation
Find the smallest positive integer $b$ such that $1111_{b}$ ( 1111 in base $b$) is a perfect square. If no such $b$ exists, write "No solution".

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