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If $p^2$ is even then $p$ is even.

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#elementary-number-theory #integers
63
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Generalization of "If $p$ is an integer and $p^2$ is even then $p$ is even"

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#elementary-number-theory #integers
259
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Homomorphisms of group $\mathbb{Z}$ to itself send even integers to even integers

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#abstract-algebra #integers
155
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An intriguing distance-like invariant

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#combinatorics #reference-request #recreational-mathematics #integers
136
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Inequality with powers of 2

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#inequality #exponential-function #integers #substitution #muirhead-inequality
619
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Prove that any permutation of the given numbers can't be a perfect square

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#combinatorics #elementary-number-theory #discrete-mathematics #integers
636
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A diophantine equation with unknown exponents: $ 4^n + 5^n = 7^m + 2^m $

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#exponential-function #diophantine-equations #integers
68
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Modules of algebraic integers

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#abstract-algebra #ring-theory #complex-numbers #field-theory #integers
349
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Why does subtraction work over positives and negatives (in $\mathbb{Z}$)?

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#arithmetic #integers
1.1k
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how to find the integer values?

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#algebra-precalculus #discrete-mathematics #divisibility #fractions #integers
41
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Functions that change only for integers

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#functions #special-functions #integers
73
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For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

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#group-theory #abelian-groups #integers
84
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Positive integer solutions of $(591-b-c-d)^2+(591-b-c-d)+41 = bcd$

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#number-theory #diophantine-equations #integers
445
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Is there a less-trivial integer function with described properties?

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#functional-equations #integers #semiring
81
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Find the least value of $b$ such that any permutation of given numbers can be expressed as $a^b$

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#combinatorics #number-theory #elementary-number-theory #integers

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