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How can I solve this find the digits problem more rigorously?

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#number-theory #modular-arithmetic
25
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Deduce $\tau _k (p^e) = {{e+k-1}\choose{k-2}}.$

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#number-theory
81
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Given a set of primes S, show that no prime in S divides the sum of staggered products of these primes.

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#number-theory #prime-numbers #prime-factorization
25
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Prove: x = a^(d/2) satisfies x^2 ≡ 1mod(n)

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#number-theory #modular-arithmetic
62
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which way should i follow to solve the problem regearding Fermat's little theorem?

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#number-theory #elementary-number-theory #discrete-mathematics #congruences
1.8k
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Definition of coprime in a ring

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#abstract-algebra #number-theory #definition
191
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Solutions to the equation $x^4+3y^4=z^2$

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#number-theory #diophantine-equations
68
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Integer solutions for $x^y=y^x$

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#number-theory #exponential-function #diophantine-equations
39
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Action of units on the lattice of a real quadratic number field

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#geometry #number-theory #inequality #algebraic-number-theory
74
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Are there solutions to the following simultaneous equations?

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#sequences-and-series #number-theory #systems-of-equations
84
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Arbitrarily long amicable chains

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#number-theory
48
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Can we prove that for some $k$ we have the following inequality?

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#number-theory #proof-writing #prime-numbers
218
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Ratios of prime gaps $(p_{n+1}-p_n)/(p_{2n+1}-p_{2n})$

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#number-theory #prime-numbers #prime-gaps
547
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Line Bundles on Moduli Space of Elliptic Curves and Modular Forms

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#number-theory #algebraic-geometry #elliptic-curves #modular-forms
292
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The arithmetic sequence of 4 prime numbers

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#number-theory #prime-numbers

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