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Volume 87

The Mathematical Gazette

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Volume 87 - 2003

Notes

87.33 Comment on ‘Dissecting squares’

87.57 Using Pythagorean triples to generate square roots of I2

87.02 Sums of consecutive positive integers

87.34 Some binomial coefficient identities

87.35 Some remarks on difference equations

87.58 Proof of the theorems of Fermat and Wilson and related results

87.03 The prime factors of 2n2 + 1

87.04 When is n a member of a Pythagorean triple?

87.36 Multiplying with quarter squares

87.59 The digital representation ring

87.05 A simple proof of the fundamental theorem of arithmetic

87.37 Rapid decimal expansions of rational fractions of the forms a/(10n - l)anda/(10nK + 1)

87.60 On the matrix representation of continued fractions

87.06 A theorem on rational numbers

87.38 Which is larger, eπ or πe?

87.61 Loops of regular 2n-gons

87.62 A pair of floor and ceiling formulas

87.39 Tinkering with the calculus power rules

87.07 The golden euro

87.08 The dimension of the space of magic squares

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Volume 87 - 2003

Notes