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Find multiplicative inverse when numbers are not coprime

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#modular-arithmetic
103
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How to solve the congruence equation $6x+y \equiv 19 \pmod {26}$?

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#modular-arithmetic
147
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Congruence equations in the form $x^k \equiv b \bmod m$

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#number-theory #modular-arithmetic #problem-solving #euclidean-algorithm
32
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Finding remainders from an encoding function

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#modular-arithmetic
98
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What is all N that make $2^N + 1$ divisible by 3?

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#elementary-number-theory #modular-arithmetic #exponentiation
337
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Solve $10x + y =_3 x \wedge 10x+y =_5 y$

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#discrete-mathematics #modular-arithmetic #systems-of-equations
37
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Prove $(a+q*d,n) = 1$ where $q$ is the product of all primes which divide n but not a.

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#elementary-number-theory #modular-arithmetic
365
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Finding the last two digits of $9^{9^{9^{…{^9}}}}$ (nine 9s)

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#number-theory #modular-arithmetic
53
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Modular Exponentiation when only mod of a value is known

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#modular-arithmetic
186
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Is $X^{E} \equiv X \;(\text{mod}\; n)$ a potential problem in the RSA cryptosystem?

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#number-theory #modular-arithmetic #exponentiation #cryptography
1k
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Pirates and Bag of Coins

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#prime-numbers #modular-arithmetic #diophantine-equations
60
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Finding the modular inverse of $\alpha$ with respect of 26

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#modular-arithmetic
102
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A question about modulo with high number

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#modular-arithmetic
286
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Prove $a^t$ is congruent to $1$ modulo one of the primes $p,q$ and $-1$ modulo the other prime.

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#number-theory #elementary-number-theory #modular-arithmetic #divisibility #chinese-remainder-theorem
178
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Why $gcd(\alpha,26)\neq 1$ means that $ax\equiv y \pmod{26}$ is not injective?

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#modular-arithmetic

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