a,b,c,d are four positive prime numbers such that the product of these four prime numbers is equal to to the sum of 55 consecutive positive integers. Find smallest possible value of a plus a + b + c+ d, where a,b,c,d, are not necessarily distinct.
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Step-by-step explanation:
Sum of first fifty-five consecutive integers = 55*56/2 = 55*28=1540
1540 = 4*5*7*11
Sum = 4+5+7+11 = 27
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