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if the sum of five consecutive nos. 35? how many prime numbers are there :

Question Posted / sandeep


if the sum of five consecutive nos. 35? how many prime numbers are there :..

Answer / Vidit

First, let's find the possible sets of five consecutive numbers that sum up to 35. The smallest set is {1,2,3,4,5} and the largest set is {30,31,32,33,34}. There are six such sets in total. Next, let's check if each set contains prime numbers. Prime numbers in this range are {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}. After checking all the sets, there are two sets with prime numbers: {2, 3, 5, 7, 13} and {7, 11, 19, 23, 31}. So, there are 2 sets of five consecutive numbers containing prime numbers.

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