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Power Congruence

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#modular-arithmetic
49
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Number of roots of $f(x,y)\equiv0\bmod p$?

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#polynomials #modular-arithmetic #roots #finite-fields
83
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Residue distributions are not uniform

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#number-theory #modular-arithmetic #cryptography
171
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Inclusion-exclusion principle generalization of Fermat's little theorem

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#elementary-number-theory #modular-arithmetic #divisibility
196
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mod cancellation: compute $\, n/2\bmod 6\, $ from $\,n \bmod m\,$ for even $n$

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#elementary-number-theory #modular-arithmetic
103
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System of modular equations, unknown raised to a power

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#number-theory #modular-arithmetic
242
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Find values of X in a Modulo operation

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#linear-algebra #modular-arithmetic
39
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Existence of $1 \le r \le z^3$ such that $n \equiv 6r \mod z^3$.

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#elementary-number-theory #modular-arithmetic
41
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Uniform residue limits over $\{1,2,\dots,p-1\}$

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#number-theory #prime-numbers #modular-arithmetic #conjectures
102
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How can I formally prove that $3\mid 2^n+1\iff n=2m+1,m \in \mathbb N$

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#group-theory #modular-arithmetic #divisibility
486
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How to calculate modulo of a factorial?

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#modular-arithmetic
724
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How to find the week day of (any) given date?

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#algorithms #modular-arithmetic #ceiling-and-floor-functions #calendar-computations
98
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Is it possible to solve this congruency system?

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#modular-arithmetic #chinese-remainder-theorem
101
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Does $a^m \equiv 1\ (\text{ mod } n)$ solution exist for every integer where $(a,n)=1$?

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#elementary-number-theory #modular-arithmetic
38
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Power of prime ending with specified suffix

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#number-theory #modular-arithmetic #exponentiation

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