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Find a prime factor of $7999973$ without a calculator

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#number-theory #prime-factorization
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Confusion about the conductor for Dirichlet characters

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#number-theory #elementary-number-theory #characters
1.1k
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General form of an integer

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#number-theory #elementary-number-theory #divisibility
2.2k
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Set closed under multiplication

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#number-theory #logic #ring-theory
111
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How to find numbers satisfying these properties?

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#number-theory #elementary-number-theory #modular-arithmetic #integers
53
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Number theory related to rings

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#number-theory
293
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Is there any simple primality test for large integer for students in the high school level?

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#number-theory #primality-test
76
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Show that $\Bbb Z\Big(\frac{1+\sqrt{d}}{2}\Big)$ is closed under multiplication.

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#abstract-algebra #algebra-precalculus #number-theory #ring-theory #algebraic-number-theory
263
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Can $X \times Y = \overline{XY}$?

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#number-theory
673
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How can I calculate the remainder of $3^{2012}$ modulo 17?

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#number-theory #modular-arithmetic #exponential-function #factoring
95
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Exponentiation property of the modulo operator

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#number-theory #modular-arithmetic #modules #exponentiation #universal-property
111
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Number theory: find $a, b$ such that $\frac{a}{b} = b.a$ in a general base $\mathcal{B}\neq 10$

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#number-theory #elementary-number-theory
107
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Surjectivity of the inv map in Global class field theory

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#number-theory #class-field-theory #galois-cohomology
136
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Are there infinitely many primes of the form $n^2+n+1$?

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#number-theory #prime-numbers
157
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For $n \equiv 1 \pmod 3$,there exists $m<n$ such that $n+3k=m^2$

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#number-theory #elementary-number-theory

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