Sunday, 17 June 2018

How Many Natural Numbers Can Get Expressed as the Sum of Consecutive Natural Numbers in only One Way?








Some natural numbers can be expressed as a sum of consecutive natural numbers in more than one way. For example, 7 can get expressed both as 7, and (3+4). In terms of a sum of consecutive numbers, 4 and 8 can only get expressed as 4, and 8 respectively. Call such numbers consecutive-primes. How many consecutive-primes exist? Given all previous consecutive-primes, is there a way to compute the next consecutive-prime?

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