The product of 4 consecutive integer,when increased by 1 is always
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If you let the first of any 4 consecutive numbers be x, their product +1 will be x(x+1)(x+2)(x+3) + 1 = x^4 +6x^3 +11x^2 +6x +1. This should prove that the product of any 4 consecutive numbers add 1 is always a square number!
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