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# Divisibility of a sum of consecutive integers by a prime number.

Any sum of consecutive integers is divisible by p iff either the sum of terminal terms is divisible by p or the number of terms is divisible by p; terminal terms represent the first and last term and p is a prime number.

Note by Aravind Vishnu
2 years, 6 months ago

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Do you want a proof or are you sharing this fact with us ? If it's the latter , I suggest don't make separate notes to share just one or two facts , post a note sharing around 10 -15 facts . That way , everyone will like to go thru your posts :)

- 2 years, 6 months ago

Thank you for the suggestion. I will try to make it better next time.

- 2 years, 6 months ago

You are welcome $$\ddot\smile$$

- 2 years, 6 months ago