by T. Yau, student, Pima Community College

Prove that if N = O there are neither an operation ° * * nor integers replacing the letters. for which the following statement:


FUNCTION * IN = NUMBERTHEORY is available. Solution:

Of course " * " may not be an addition. because in that case "S° (as a digit) shouid be equal to "U", which involves N = 0. Contradiction.

[Same for a substraction.]

Nor a multiplication, because the product should have more that 12 digits.

Not a division, because the quotient should have less than 12 digits.

For other kind of operation, | think it’s not necessary to check anymore.

Reference: Mike Mudge, "The Smarandache Function’ in the <Personal Computer World> journal, London, July

1992, p. 420.