Monthly Archives: January 2014

Fibonacci num3ers – Difference of two squares

The first few Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, … Continue reading

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N^2 = A^3 + B^3 + C^3 + D^3, and A+B+C+D=0

                     N^2   =   A^3   +   B^3   +   C^3   +   D^3                                    A   +   B   + C   +   D   =   0   with   N … Continue reading

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Fibonacci Num3ers : Set of 4 consecutive terms

The first few Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, … Continue reading

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Num3er 1477

  I have  1477  followers on Twitter   1477  has 4 divisors:           1      7      211      1477 Sum of divisors:         1696 1477   =   7  *  211 … Continue reading

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Fibonacci Num3ers : x^2 – x*y – y^2 = ± 1

The first few Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, … Continue reading

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Puzzle | Cubing Fibonacci numbers

  The first few Fib numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, … Continue reading

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Prime num3ers 29, 31, 37

  The prime numbers under 1000 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, … Continue reading

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Puzzle | Num3er 1100

  1100  has  18  divisors: 1   2   4   5   10   11   20   22   25   44   50   55   100   110   220   275   550   1100 … Continue reading

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K computer in Japan

  Supercomputer models one second of human brain activity The most accurate simulation of the human brain ever has been carried out, but a single second’s worth of activity took one of the world’s largest supercomputers 40 minutes to calculate … Continue reading

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Clock : Using the digit 9 only

      On the clock the bar of the square root sign goes too far. So I’ll put parentheses to avoid confusion: 5   =   (√9)!   –   9/9 Another solution:     9   =   9 … Continue reading

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