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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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