In Irish, the first ten counting numbers are: aon, dó, trí, ceathir, cú, sé, seacht, ocht, naoi, and deich. In a cryptarithm, numbers are represented by replacing their digits by letters; a given letter consistently represents the same digit and different letters represent different digits. Leading zeroes are not permitted. This month's problem is to solve the Irish cryptarithm:

SEACHT is a prime number,

OCHT is a perfect cube,

NAOI is a perfect sqare, and

DEICH is the sum of two squares.

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The solution will be posted shortly.
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