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 27 Elementary proof of Zsigmondy's theorem 23 Why shouldn't this prove the prime number theorem? 17 Can second degree polynomials generate as many as we wish prime numbers in the way described? 16 Name for a function whose effect is canceled by another function? 15 Last digits of power towers $7$, $7^7$, $7^{7^7}$, $7^{7^{7^7}}$, … don't change, and generalisation

Reputation (15,435)

 +10 Any suggestions on a closed form of $\sum_{a=1}^{N} \left({\lfloor{\frac{N+1}{a}}\rfloor+\lfloor{\frac{N-1}{a}}\rfloor}\right)$ +10 In which rings does this multiplicative analogue of Bézout's theorem hold? +5 In which rings does this multiplicative analogue of Bézout's theorem hold? +10 Elementary proof of Zsigmondy's theorem

Questions (83)

 31 Trigonometric diophantine equation $8\sin^2\left(\frac{(k+1)\pi}{n}\right)=n\sin\left(\frac{2\pi}{n}\right)$ 27 Elementary proof of Zsigmondy's theorem 20 Counting binary sequences with no more than $2$ equal consecutive numbers 19 Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$ 13 Closed form for $\sum_{k=1}^\infty(\zeta(4k+1)-1)$

Tags (289)

 283 number-theory × 127 71 combinatorics × 27 280 elementary-number-theory × 127 67 abstract-algebra × 40 148 prime-numbers × 54 63 sequences-and-series × 27 81 divisibility × 28 56 inequality × 30 71 diophantine-equations × 40 54 analytic-number-theory × 20

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 Mathematics 15,435 rep 33 gold badges3030 silver badges9090 bronze badges