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Question

Maths
In how many pairs of consecutive prime number from 1to100,. does a different of 6 occur?

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Solution

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

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