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15
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Are there any theorems guaranteeing that if you add $1$, the number of prime factors will be reduced?

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#number-theory
153
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Magnitude of the series over primes $p$ of exponential functions $\sum_{p} e^{-pt}$

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#number-theory
58
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Exponent in the prime factorization of $3^{1024}-1$ belonging to the prime $p=2$

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#number-theory #prime-factorization
68
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Problem calculating the power of an ideal in quadratic field

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#abstract-algebra #group-theory #number-theory #finite-groups #algebraic-number-theory
50
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# of solutions to linear congruences

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#number-theory #elementary-number-theory
197
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exponentiating the natural numbers

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#number-theory #elementary-number-theory #diophantine-approximation
489
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Find all positive integers $x,y$ such that $\frac{x^2-1}{xy+1}$ is a non-negative integer.

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#number-theory #elementary-number-theory #divisibility
138
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Bounds for Dedekind Zeta functions

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#complex-analysis #number-theory #reference-request #analytic-number-theory
121
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A question about Fermat-Euler Theorem restrictions

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#number-theory #elementary-number-theory #modular-arithmetic #totient-function
51
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Would solving this equation prove square freeness of fermat numbers?

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#number-theory #discrete-mathematics
49
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Pentagons with specific angles.

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#geometry #number-theory #isometry
780
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Experimental identities with Fibonacci series

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#real-analysis #sequences-and-series #number-theory #summation #fibonacci-numbers
113
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Solving $4^m-3^n=p^2$ for natural $(m,n,p)$.

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#algebra-precalculus #number-theory #elementary-number-theory #exponentiation #natural-numbers
839
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Why does the coefficient field of a normalized Hecke form a number field?

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#number-theory #modular-forms
94
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A-x, B+x, x is all perfect square (Diophantine equation)

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#number-theory #analytic-number-theory

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