Question

Evaluating $\sum\limits_{n=2}^{\infty} \frac{1}{ GPF(n) GPF(n+1)}\,$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

score 839 · Answer 1 · 2026-04-14 14:25:03

839

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Evaluating $\sum\limits_{n=2}^{\infty} \frac{1}{ GPF(n) GPF(n+1)}\,$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

Published on 14 Apr 2026 - 14:25

score 116 · Answer 2 · 2026-04-12 12:35:43

116

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Analytical number theory replacing integer with variable in the summation

Published on 12 Apr 2026 - 12:35

score 374 · Answer 3 · 2026-04-10 20:47:22

374

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score 3.3k · Answer 4 · 2026-04-14 20:58:45

3.3k

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Are these zeros equal to the imaginary parts of the Riemann zeta zeros?

Published on 14 Apr 2026 - 20:58

score 342 · Answer 5 · 2026-04-17 17:44:08

342

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Show that : $2, 5, 13, 17, 29, 421, 401, 53, 281,...,\rightarrow \infty$? $a_{n+1}=\operatorname{ GPF}(qa_n+p)$

Published on 17 Apr 2026 - 17:44

score 615 · Answer 6 · 2026-04-12 05:21:12

615

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about the riemann zeta function and the prime counting function

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score 2.6k · Answer 7 · 2026-04-14 14:32:32

2.6k

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score 126 · Answer 8 · 2026-04-10 06:36:31

126

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score 249 · Answer 9 · 2026-04-11 11:24:52

249

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963

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score 125 · Answer 11 · 2026-04-16 13:27:10

125

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Published on 16 Apr 2026 - 13:27

score 647 · Answer 12 · 2026-04-16 10:57:48

647

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Published on 16 Apr 2026 - 10:57

score 262 · Answer 13 · 2026-04-11 14:22:40

262

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score 124 · Answer 14 · 2026-04-14 13:36:42

124

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score 6.3k · Answer 15 · 2026-04-10 22:39:51

6.3k

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How to show that the Laurent series of the Riemann Zeta function has $\gamma$ as its constant term?

Published on 10 Apr 2026 - 22:39

List Question

Evaluating $\sum\limits_{n=2}^{\infty} \frac{1}{ GPF(n) GPF(n+1)}\,$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

Analytical number theory replacing integer with variable in the summation

Zeta function identity

Are these zeros equal to the imaginary parts of the Riemann zeta zeros?

Show that : $2, 5, 13, 17, 29, 421, 401, 53, 281,...,\rightarrow \infty$? $a_{n+1}=\operatorname{ GPF}(qa_n+p)$

about the riemann zeta function and the prime counting function

The value of a Dirichlet $L$-function (and its derivative) at $s=0$

The bound behavior for an integral important in studying Chebyshev's prime counting function

Complex integral with zeta

Rounding is asymptotically useless?

$kN^{2}$ relatively prime pairs in $\mathbf{Z}^{2}$

Is $\eta^{24}(\tau)\,j(\tau) = {E_4}^3(q)$?

Density of products of a certain set of primes

Asymptotics for almost all $x$

How to show that the Laurent series of the Riemann Zeta function has $\gamma$ as its constant term?

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