46. Tia adds three consecutive prime numbers
5 + 7 + 11 = 23
She does this two more times
7 + 11 + 13 = 31
11 + 13 + 17 = 41
Tia is delighted to see that the sum of three consecutive prime numbers seems to give
another prime number.
(a) Complete the following statements:
(i) 17 + 19 + 23 =
(ii) + + = 71
(iii) + + = 83
The prime numbers between 20 and 140 are:
23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109,
113, 119, 127, 131, 137 and 139
(b) Which two groups of three consecutive prime numbers, between 10 and 50, have
a sum which is not prime?
Answer: + + =
+ + =