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TABLE OF CONTENTS. 



Chapter I. Arithmetical Recreations. 



PAOE 



Baohet. Ozanam. Montncla 2 



Elementary Questions on Numbers 3 



Determination of a number selected by someone .... 4 



Prediction of the result of certain operations .... 7 



Problems involving two numbers 10 



Miscellaneous Problems 12 



Problems with a Series of Numbered Things 14 



Medieval Problems 18 



The Josephus Problem. Decimation 23 



Addendum on Solutions 27 



Chapter II. Arithmetical Recreations (Continued). 



Arithmetical Fallacies 28 



Paradoxical Problems 31 



Permutation Problems 82 



Bachet's Weights Problem 34 



Problems in Higher Arithmetic . . . ..... 36 



Primes. Mersenne's Numbers. Perfect Numbers ... 37 



Unsolved Theorems by Euler, Goldbach, Lagrange ... 39 



Fermat's Theorem on Binary Powers 39 



Format's Last Theorem 40 



