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 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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Tag Archives: Sum
Use digits 1,9,8,2 and basic operations to make 0100
Use the basic operations (+, , x, /, √, )  stands for concatenation. Please extend the list. Advertisements
Puzzle  4 items in a store; a*b*c*d = a+b+c+d
PART 1 The price tags on three items in a store are : We note that Find four prices, a, b, c, and d such that Paul and David answered correctly … Continue reading
Sum of consecutive odd numbers
Parity http://mathworld.wolfram.com/Parity.html Let be a positive integer and be any integer with the same parity as with These odd integers are all positive. for example, If n = 2, … Continue reading
Pattern  Sum of all positive integers (multiples of 2 and 5 excluded)
multiples of 2 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, … multiples of 5 5, 10, 15, 20, 25, 30, … Let’s take the sum of all positive integers which … Continue reading
(n, n+1) Higher Sum and Product
Among the distinct pairs of numbers whose sum is , the greatest possible product is Consider , find the distinct ways of achieving a higher product with two positive integers Here are the … Continue reading
1/a^2 + 1/b^2 + … + 1/x^2 = 1/2
The equation 1/a^2 + 1/b^2 + 1/c^2 + … + 1/x^2 = 1/2 where all variables a, b, c, …, x must be different, positive integers, and … Continue reading
Sum of Prime Num3ers using each of the digits 1 through 9
Prime numbers under 1000 : 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, 139, 149, … Continue reading
a + b + … + n = a * n
Sum of consecutive integers is equal to to the product of the first and the last terms: a, b, c, …, n are consecutive integers. a + b + … + n = a * n For example, 3 … Continue reading
Table of numbers with 5 rows and 5 columns
Below is a table of numbers with 5 rows and 5 columns. From the table, choose 5 numbers in such a way that no two numbers come from the same row and no two numbers come from the same column. … Continue reading
When the Sum of Num3ers Equals their Product [Part 3]
That is, a + b + … + n = a * b * … * n When the Sum of Num3ers Equals their Product [Part 1] 2 + 2 = 2 * 2 = 4 etc. When the Sum … Continue reading