The average of seven consecutive prime numbers is 53. What is the difference between the greatest and the smallest of these numbers?
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The difference between the greatest and the smallest of the numbers = 26.
The average of the 7 consecutive prime numbers is equal to 53.
53 itself being a prime number must be the middle number of the seven consecutive prime numbers. There will be three prime numbers ahead and before 53.
The 7 prime numbers are -
41, 43, 47, 53, 59, 61, 67
Average =(41+43+47+53+59+61+67)/7
= 371/7
= 53
Hence , the average of these prime numbers is equal to the given average .
Largest term = 67
Smallest term = 41
Difference = (67-41) = 26
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