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Smallest positive integer modular congruence problem

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#elementary-number-theory #modular-arithmetic
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Perfect square as sum of two perfect squares

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#number-theory #elementary-number-theory #proof-writing #square-numbers #sums-of-squares
156
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Euclidean Algorithm problem $475x+2018y=1$

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#elementary-number-theory
158
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Solutions to $\frac{1}{n} = \frac{1}{a} + \frac{1}{b}$

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#elementary-number-theory
52
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Infinitude of primes via Fermat numbers query

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#elementary-number-theory #prime-numbers
72
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GCD of two numbers $4a^2 + 3,4ab-1$

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#elementary-number-theory #contest-math #gcd-and-lcm
441
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Show that all Fermat numbers pass the base $2$ test (pseudoprime).

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#elementary-number-theory #modular-arithmetic #pseudoprimes #fermat-numbers
72
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are all the numbers in Euclid proof prime numbers?

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#elementary-number-theory #prime-numbers
198
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The last two digits of $217^{382}$

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#number-theory #elementary-number-theory
647
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Solving a linear congruence system

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#number-theory #elementary-number-theory #chinese-remainder-theorem
955
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Show that the equation $y^2 = x^3 +xz^4$ has no solutions in nonzero integers $x,y,z$.

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#elementary-number-theory
44
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10 numbers - combined two different numbers

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#combinatorics #elementary-number-theory
330
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Greatest common divisor of two numbers, $a$ and $b$

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#elementary-number-theory #gcd-and-lcm
43
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Two's complement and a number without a representation in a computer

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#elementary-number-theory #computer-science
22
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3 variant expression

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#elementary-number-theory #notation

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