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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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Monthly Archives: April 2015
Find in base6 a 9digit square of the form AAAAAAXYZ
Hint : it is the square of a number whose central triad is XYZ Answer: 333333521 base6 David found:
Num3er 952
is the sum of the cubes of its digits plus the product of its digits: Can you find other examples? Paul found: … Continue reading
Integers n such that n(n+1) = (n+2) (mod n+3)
Solve the following: (1) (2) where is not necessarily (3)
When the product of two positive integers is even
Prove that the product of the positive integers a and b is even if and only if there exist positive integers c and d such that … Continue reading
Perfect squares formed by the last ddigits exceeding the first ddigits by 1
that is, (Concatenation of 6099 and 6099+1)
Equation: x^(a+b) + y = (x^a)(y^b)
Solve when a, b, x, y are in
Oblong numbers When is the sum of two oblong numbers oblong?
Oblong numbers are of the form , where is the nth triangular number. An integer of the form is called a Triangular number. Here are all the Oblong numbers with … Continue reading
Polygonal number relation mgonal = T(n) + (m3)*T(n1)
An integer of the form is called a Triangular number. The sum of two consecutive Triangle numbers is always a square number So, Every pentagonal number can be written as a sum of a triangular … Continue reading