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Today Puzzle #722

Puzzle No. 722 – Monday 21 April 2020

Today is the 94th birthday of Her Majesty the Queen. She would ordinarily have a 41 gun salute but this is cancelled for the first time in her reign. 41 is a prime number. What is notable about the total of all the prime numbers up to 41 and the sum of the digits of this number?

Today’s #PuzzleForToday has been set by Dr Shaun Fitzgerald, Fellow of Girton College

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A There are 13 prime numbers up to 41 which are 2,3,5,7,11,13,17,19,23,29,31,37,41. The sum of all these is 238. If you add up the digits from 238 you have the number of prime numbers … 13. (The only other prime number up to 101 which has this property is 67, which is the 19th prime number).

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