The prime numbers from 1 to 100 are :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53,59, 61, 67, 71, 73, 79, 83, 89, and 97.
Pairs of consecutive prime numbers in which difference of 6 occur :
(23, 29)
(31, 37)
(47, 53)
(53,59)
(61, 67)
(73, 79)
(83, 89)
So, required no. of pairs = 7