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Sum of reciprocal of primes

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#elementary-number-theory #prime-numbers #integers
1.2k
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Pairwise sum and divide

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#summation #integers #ceiling-and-floor-functions #integer-programming
845
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Proofs involving even and odd integers

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#integers
109
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superexponentiation of integers yields integers

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#exponentiation #integers #foundations
64
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Find all integer $a,b,c$

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#analysis #integers
142
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Proof of an identity verified by integer part function

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#functions #integers
307
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Numbers which get reduced by 57 times on deleting the leading digit.

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#integers
1.3k
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Find three consecutive positive integers a,b and c such that a+b is a perfect square and b+c is a perfect cube.

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#integers #square-numbers
51
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A much more formal way to do this

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#diophantine-equations #exponentiation #integers
122
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Number Theory and Self-Written Numbers

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#sequences-and-series #combinatorics #number-theory #elementary-set-theory #integers
403
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Find every pair of integers $(p,q)$ such that $ \frac {p^3 -q}{pq+1} $ is an integer

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#divisibility #integers
419
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Non-zero elements of skew-symmetric matrices

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#linear-algebra #abstract-algebra #matrices #number-theory #integers
488
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Solutions to $a^x = b^y$

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#diophantine-equations #integers #perfect-powers
3.2k
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is it possible to count the number of rational numbers there are between any two integers?

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#rational-numbers #integers
183
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Prove that $y_1, . . . , y_n$ can be obtained from $x_1, . . ., x_n$ by a permutation if $x_1^{x_1}+...+x_n^{x_n}= y_1^{y_1}+...+y_n^{y_n}$

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#permutations #induction #integers

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