perplexus.info :: Just Math : Evaluate the smallest value

Evaluate the smallest value (Posted on 2024-03-09)

Suppose that a positive integer N can be expressed as the sum of k consecutive positive integers N = a + (a + 1) + (a + 2) + · · · + (a + k − 1)
for k = 2017 but for no other values of k > 1.

Considering all positive integers N with this property, what is the smallest positive integer a that occurs in any of these expressions?

Source: Putnam 2017

Submitted by Ady TZIDON

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Solution: (Hide)

Answer. a = 16 Full solution @ Larry’s post,

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2024-03-09 13:33:02
If I understand the problem correctly ...	Larry	2024-03-09 12:18:02

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