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Find the least whole number only consisting of the digit 1 such that it is divisible by 3333...3.(100 3's)

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#number-theory #elementary-number-theory #modular-arithmetic #divisibility #decimal-expansion
286
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Modulo multiplicative inverse

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#number-theory #modular-arithmetic
226
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Primes number $n,n+2,n+6,n+8,n+12,n+14$

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#number-theory #elementary-number-theory #prime-numbers #modular-arithmetic
77
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Assumptions in Artin's primitive root conjecture

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#elementary-number-theory #modular-arithmetic
87
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Finding the modular of a Square Root of a product of many numbers

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#modular-arithmetic #roots
102
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Knowing that $a+b\equiv 1 \pmod{7^{n+1}}$ show that $a^7+b^7\equiv 1 \pmod{7^{n+2}}$

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#elementary-number-theory #modular-arithmetic
59
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Computing modular inverses $65537^{-1\!}\bmod (10^n\!-1)$ for large $n$

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#modular-arithmetic
353
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If $a^{m}+1\mid a^{n}+1$ then prove that $m\mid n$.

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#elementary-number-theory #modular-arithmetic #divisibility
65
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time the pseudo random generator gonna start repeating itself

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#sequences-and-series #number-theory #prime-numbers #algorithms #modular-arithmetic
31
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Divisibility of number $s\perp 10$

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#modular-arithmetic #divisibility
43
Views

Finding small solutions to modular congruences

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#algorithms #modular-arithmetic #computer-science
20
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A difference in a formula of theorem 4.2(e) on congruence relations.

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#elementary-number-theory #modular-arithmetic
79
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Plotting points of the form $(-p \mod(n),0)$ and $(p,0)$

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#calculus #prime-numbers #modular-arithmetic #graphing-functions
54
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Math game problem, not able to understand why the solution works?

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#programming #modular-arithmetic
882
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Count number of roots of polynomial modulo prime power

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#polynomials #prime-numbers #modular-arithmetic #hensels-lemma

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