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Solve in $\mathbb N$: $ 2^x\equiv 1 \bmod{x}$

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#elementary-number-theory #modular-arithmetic #arithmetic
55
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Polynomials taking a prime or 1 value on infinitely many points are irreducible

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#polynomials #ring-theory #arithmetic #irreducible-polynomials #arithmetic-progressions
677
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Giving the speed, find meeting points of two objects.

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#algebra-precalculus #arithmetic
84
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When the numbers $8, 11, 18, 20, 23, 32, 38$ are placed to form an equality in the empty boxes below, which one of the numbers will not be used?

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#arithmetic #puzzle
127
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Find divisors $n_i$ of $a_i$, mutualy coprime, with $\prod n_i=\operatorname{lcm}(a_i)$

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#arithmetic #gcd-and-lcm #computational-mathematics #least-common-multiple
116
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Making 12 by adding 1, 3, and 5

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#discrete-mathematics #arithmetic #additive-combinatorics
86
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$ a , b $ are two odd integers with $\gcd(a,b)=1$. Show that $\gcd(2^a+1,2^b+1)=3$.

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#elementary-number-theory #modular-arithmetic #arithmetic
81
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Limit of an arithmetic average series

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#arithmetic #average #faq
84
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Formulating arithmetic expression to aim for target number

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#number-theory #elementary-number-theory #arithmetic
2.4k
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Why do addition and subtraction have the same precedence?

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#arithmetic
141
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Why is $-a+b$ always equal to $b-a$?

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#arithmetic
27
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Can we extend our arithmetic beyond the power?

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#arithmetic
549
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How is the joint proportionality (joint variation) equation (i.e. $y = kxz$) logically correct?

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#discrete-mathematics #arithmetic #ratio
143
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Incompleteness of Robinson's Arithmetic

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#logic #arithmetic #axioms #incompleteness
110
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Determine the value $(1^2 +3^2 + \ldots 99^2)-(2^2 + 4^2 +\ldots 100^2)+(4+8+\ldots200)$?

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#sequences-and-series #algebra-precalculus #arithmetic

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