14(4)
... A Fibonacci representation has been defined [ 1 , 2, 3, 5, 8] as a finite sequence of ones and zeroes (in effect) read positionally from right to left, in which a one in position / signifies the presence of the Fibonacci number fj, where we take fl = 1, f2 = I The integer thus represented is the sum ...
... A Fibonacci representation has been defined [ 1 , 2, 3, 5, 8] as a finite sequence of ones and zeroes (in effect) read positionally from right to left, in which a one in position / signifies the presence of the Fibonacci number fj, where we take fl = 1, f2 = I The integer thus represented is the sum ...
On Divisors of Lucas and Lehmer Numbers
... logarithms of algebraic numbers are established. This allows us to estimate directly the order of primes dividing Φn (α, β). The estimates are non-trivial for small primes and, coupled with an estimate from below for |Φn (α, β)|, they allow us to show that we must have a large prime divisor of Φn (α ...
... logarithms of algebraic numbers are established. This allows us to estimate directly the order of primes dividing Φn (α, β). The estimates are non-trivial for small primes and, coupled with an estimate from below for |Φn (α, β)|, they allow us to show that we must have a large prime divisor of Φn (α ...
LESSON 2 FRACTIONS
... hundredths”, which is the same as 32/100. Rules to convert decimals to fractions: Count the digits to the right of the decimal point. Place that many zeros in the denominator of the common fraction. Remove the decimal point from the number in the numerator position. Place a 1 in front of the zeros i ...
... hundredths”, which is the same as 32/100. Rules to convert decimals to fractions: Count the digits to the right of the decimal point. Place that many zeros in the denominator of the common fraction. Remove the decimal point from the number in the numerator position. Place a 1 in front of the zeros i ...
Slides
... Conjecture: M(2n) = M(n) +1 (A. Goulard) A fastest way to an even number is to make half that number and then double it. Proof given in 1895 by E. de Jonquieres in L’Intermediere Des Mathematiques, volume 2, pages 125-126 FALSE! M(191)=M(382)=11 Furthermore, there are infinitely many such examples. ...
... Conjecture: M(2n) = M(n) +1 (A. Goulard) A fastest way to an even number is to make half that number and then double it. Proof given in 1895 by E. de Jonquieres in L’Intermediere Des Mathematiques, volume 2, pages 125-126 FALSE! M(191)=M(382)=11 Furthermore, there are infinitely many such examples. ...
13(4)
... In [ 2 ] , it has been shown that the only numbers which are both triangular, i.e., = ( " ) for some n, and tetrahedral, i.e., = I" ) for some n, are 1, 10, 120, 1540 and 7140. The first two are trivial and the last three were also found by the computer, giving a check on the search procedure. The c ...
... In [ 2 ] , it has been shown that the only numbers which are both triangular, i.e., = ( " ) for some n, and tetrahedral, i.e., = I" ) for some n, are 1, 10, 120, 1540 and 7140. The first two are trivial and the last three were also found by the computer, giving a check on the search procedure. The c ...
Document
... Fermat's Last Theorem Fermat's Last Theorem states that xn + yn = zn has no non-zero integer solutions for x, y and z when n > 2. ...
... Fermat's Last Theorem Fermat's Last Theorem states that xn + yn = zn has no non-zero integer solutions for x, y and z when n > 2. ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.