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When is $m^2k^2(c^2+1)^2-4mc(c^2-c+1)$ a perfect square?

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#number-theory #elementary-number-theory #square-numbers
138
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Proof that every arithmetic progression which might contain a prime does so.

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#number-theory #elementary-number-theory #prime-numbers
121
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Get the floor value under modular division for very large number.

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#number-theory #modular-arithmetic
152
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Ramification groups are normal subgroups of Galois group?

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#abstract-algebra #number-theory
201
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Are there further primes of the form $\varphi(n)^{\varphi(\varphi(n))}+1$?

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#number-theory #elementary-number-theory #prime-numbers #totient-function
86
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Character sum related to an elliptic curve

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#number-theory #analytic-number-theory #elliptic-curves
386
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If $a$ is not square then there is a class $\mod 4a$ such that $a$ is a quadratic non-residue modulo any prime in that class.

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#number-theory #quadratic-residues
7.8k
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Is there a perfect square that is the sum of $3$ perfect squares?

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#number-theory #square-numbers
60
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Prime number lemma proof needed

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#number-theory
396
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Dice probability being modified

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#probability #sequences-and-series #number-theory
142
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How does this series yield an irrational function

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#number-theory #elementary-number-theory #taylor-expansion
162
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Congruent solution implies an integer solution.

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#number-theory #modular-arithmetic #polynomial-congruences
133
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Generalized Pythagorean integer solutions

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#linear-algebra #number-theory #elementary-number-theory #proof-verification #recreational-mathematics
130
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Number of ways to sum two Egyptian fractions and satisfy a given inequality.

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#number-theory #algebraic-number-theory #egyptian-fractions
56
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Simple practice proof

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#number-theory

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