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Max Alekseyev's user avatar
Max Alekseyev's user avatar
Max Alekseyev
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593 Answers

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107 votes

Special rational numbers that appear as answers to natural questions

67 votes

Special rational numbers that appear as answers to natural questions

30 votes

Proof for new deterministic primality test

29 votes

Harmonic sums and elementary number theory

24 votes

When do binomial coefficients sum to a power of 2?

24 votes
Accepted

Simple recurrence that fails to be integer for the first time at the 44th term

23 votes

$3^n - 2^m = \pm 41$ is not possible. How to prove it?

23 votes
Accepted

Are there infinitely many positive integer solutions to $(3+3k+l)^2=m\,(k\,l-k^3-1)$?

21 votes
Accepted

Positive roots of a polynomial

20 votes
Accepted

Dividing squares by sums

19 votes
Accepted

Are there infinitely many natural numbers not covered by one of these 7 polynomials?

19 votes

What recent discoveries have amateur mathematicians made?

18 votes
Accepted

Almost-converses to the AM-GM inequality

17 votes
Accepted

what is the status of this problem? an equivalent formulation?

17 votes
Accepted

2-adic valuation of a certain binomial sum

17 votes

When do binomial coefficients sum to a power of 2?

16 votes
Accepted

In search of a combinatorial reasoning for a vanishing sum

16 votes
Accepted

The GCD-matrix: generalizing a result of Smith?

14 votes

Examples of integer sequences coincidences

14 votes
Accepted

Prove that these are polynomials

14 votes
Accepted

Squares in the set $\{\sum_{j=1}^m j^2: m\in\mathbb{N}\}$

14 votes

What is Lagrange Inversion good for?

14 votes
Accepted

When is $\mathrm{gcd}(k,p^k-1)=1$ true?

14 votes
Accepted

Does there exist a Latin square of order 9 for which its 9 broken diagonals and 9 broken antidiagonals are transversals?

14 votes
Accepted

$2$-adic valuations: a tale of two $q$-series

13 votes
Accepted

What is this restricted sum of multinomial coefficients?

13 votes
Accepted

Integers $b$ such that $n \nmid (b^n-1)$ for $n>1$

13 votes
Accepted

When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$?

13 votes
Accepted

How to get a closed form for a possibly simple combinatorial sequence

12 votes

Combinatorial identity: $\sum_{i,j \ge 0} \binom{i+j}{i}^2 \binom{(a-i)+(b-j)}{a-i}^2=\frac{1}{2} \binom{(2a+1)+(2b+1)}{2a+1}$

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