... Editor’s Note This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from t... ...ity, Gold Coast, Queensland 9726, Australia. Copyright 2005 by Hexis., Amarnath Murthy and Charles Ashbacher Many books can be dow... ... Editor’s Note This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from t... ... equal to one. He misunderstood the conjecture, perhaps due to inadequate wording. What he actually proved was the proposition that for every n ther... ...p 2 α2 . . . p r αr . . . p n αn and p r is the rth prime. In other words, p 1 = 2, p 2 = 3, and so forth. 2) For the case where N is a sq... ... F’ * (N) = Σ F’(d r ), where d r | N. d|N In other words, F’ * = sum of F’(d r ) over all the divisors of N. Example: N =... ...mbers Dull numbers. The reader is encouraged to explore the distribution, frequency and other properties of Dull numbers. Definition: A number is ... ... list the SFP’s. In this section, such a program in the ‘C’ language that lists the SFPs will be presented. #include<stdio.h> /*This is a progra...

...This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of the papers were published in Smarandache Notions Journal and there w...