Respuesta :
The three consecutive prime numbers that are multiples of 5 will be (2, 3, 5) and (3, 5, 7).
What is a prime number?
A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
Three consecutive prime numbers, each less than 100, have a sum that is a multiple of 5.
The prime numbers from 2 to 100 are given below.
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
The sum of the first three numbers is given as,
2 + 3 + 5 = 10
The sum of the first three numbers is 10 which is a multiple of 5.
The sum of the second three numbers is given as,
3 + 5 + 7 = 15
The sum of the second three numbers is 15 which is a multiple of 5.
If you add any three consecutive prime numbers you will not get a multiple of 5 except (2, 3, 5) and (3, 5, 7).
More about the prime number link is given below.
https://brainly.com/question/9315685
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