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essentialsaltesIf you square a prime number (greater than 3), then subtract one, the result will be divisible by 24.
The square of the sum of the first n numbers = the sum of the cubes of the first n numbers
(1 + 2 + 3)^2 = 6^2 = 36 = 1 + 8 + 27 = 1^3 + 2^3 + 3^3
(1 + 2 + 3 + 4)^2 = 10^2 = 100 = 1 + 8 + 27 + 64 = 1^3 + 2^3 + 3^3 + 4^3
(1 + 2 + 3 + 4 + 5)^2 = 15^2 = 225 = 1 + 8 + 27 + 64 + 125 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3
and so on.
Finally... if you have 4 apples in one hand, and 7 apples in the other - What do you have?
Pretty big hands.
The square of the sum of the first n numbers = the sum of the cubes of the first n numbers
(1 + 2 + 3)^2 = 6^2 = 36 = 1 + 8 + 27 = 1^3 + 2^3 + 3^3
(1 + 2 + 3 + 4)^2 = 10^2 = 100 = 1 + 8 + 27 + 64 = 1^3 + 2^3 + 3^3 + 4^3
(1 + 2 + 3 + 4 + 5)^2 = 15^2 = 225 = 1 + 8 + 27 + 64 + 125 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3
and so on.
Finally... if you have 4 apples in one hand, and 7 apples in the other - What do you have?
Pretty big hands.
