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A tricky question on Euler's totient theorem

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#elementary-number-theory #modular-arithmetic
457
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Show no solutions exist for $x^3 + y^3 = 7777781.$

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#modular-arithmetic
109
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How to find cube roots of 1 modulo power of two (if they exist)?

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#modular-arithmetic
61
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If $x^d \equiv 1 \pmod{p}$ has full number of roots, $d\mid p-1$?

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#elementary-number-theory #modular-arithmetic
108
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For $7(a+b)^2 = 320m$. Find The Value Of $a$ And $b$.

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#modular-arithmetic
136
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Is it a coincidence that $8^{73} \bmod{91} = 8^{29} \bmod{72}$ both equal $8$?

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#elementary-number-theory #modular-arithmetic #cryptography
103
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What is the name for the portion of a number that wholly divides?

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#modular-arithmetic #terminology
86
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solution verification modular arithmetic

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#solution-verification #modular-arithmetic
84
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Modular Prime Equation

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#prime-numbers #modular-arithmetic
29
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$(x^3 - y^3 + a)(x^3 - z^3 + b)(y^3 - z^3 + b - a)$ soluble in $\mathbb{Z}_p$

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#modular-arithmetic #p-adic-number-theory
1.6k
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what is the value of 5/3 in mod Z7 (modulo 7)

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#modular-arithmetic
263
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Find all primes $p \geq 5$ such that $6^p \cdot (p - 4)! + 10^{3p}$ is divisible by $p$

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#elementary-number-theory #prime-numbers #modular-arithmetic #divisibility
342
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Verify the following proof.

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#elementary-number-theory #modular-arithmetic #solution-verification
501
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Cancellation law of congruence and gcd.

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#modular-arithmetic #gcd-and-lcm
1.5k
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What will be the last three digits of the number $17^{256}$?

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#number-theory #modular-arithmetic #exponentiation

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