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Comments on Find all integer solutions for $a_1(a_1+k)(a_1+2k)...(a_1+(2k+1)d)+1 = n^2$

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Find all integer solutions for $a_1(a_1+k)(a_1+2k)...(a_1+(2k+1)d)+1 = n^2$ [closed]

+1
−3

Closed as not constructive by beloh‭ on Dec 22, 2022 at 10:47

This question cannot be answered in a way that is helpful to anyone. It's not possible to learn something from possible answers, except for the solution for the specific problem of the asker.

This question was closed; new answers can no longer be added. Users with the reopen privilege may vote to reopen this question if it has been improved or closed incorrectly.

Find all integer solution for the equation below: $$a_1(a_1+k)(a_1+2k)...(a_1+(2k+1)d)+1 = n^2$$

=$$ 1+\prod_{k=0}^{2k+1} (a_1 + kd) = n^2 $$

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4 comment threads

Is there supposed to be +1 in the title? (1 comment)
The product as you've written it now is not well defined, and I think not what you wanted anyway. It ... (1 comment)
Video (1 comment)
Counterexample? (3 comments)
Is there supposed to be +1 in the title?
Moshi‭ wrote about 2 years ago

In your post, your equation includes a +1 term, while your general form in the title doesn't. I haven't tried solving it yet to see whether either is a square, but which one is intended?

Secondarily, could you put the general form into the body of the post?

Skipping 1 deleted comment.