ALPHANUMERICS AND SOLUTIONS (9)
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:
SMARANDACHE *
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.
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