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Jun 20, 2019 at 0:03 comment added mamiladi thanks mr Gerhard for your hel, i need $p| C_{9.n}^{k-n} C_{8n+k}^8n $, $ \forall$ integer $ k$ satifying $ max(n,p)≤k≤10n.$ $S$ is not restrticted to $]8*n,9*n[$ because I have found that $\forall p$ prime $10.n \geq p > \sqrt{18n}, p \in ]4n=8*n/2,9*n/2[, $ we have $\forall k $ such that $ max(n,p)≤k≤10n$ one has $v_p( C_{9.n}^{k-n} C_{8n+k}^{8n}) \geq 1$
Jun 19, 2019 at 23:18 history edited mamiladi CC BY-SA 4.0
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Jun 19, 2019 at 22:55 comment added mamiladi thanks mr Gerhard for your comment, S
Jun 18, 2019 at 16:48 history edited YCor
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S Jun 18, 2019 at 15:11 history suggested Maurizio Moreschi CC BY-SA 4.0
I have fixed several grammar and spelling mistakes. I have also made some formulas a bit more pleasant to the eye.
Jun 18, 2019 at 13:20 review Suggested edits
S Jun 18, 2019 at 15:11
Jun 18, 2019 at 7:59 history edited user64494 CC BY-SA 4.0
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Jun 18, 2019 at 5:43 comment added Gerhard Paseman As I read this, you want several primes p so that for every k from an interval you want to p to divide something involving k and n. In particular, you want p to divide a binomial coefficient which I interpret as 9n choose 8n. So your set S is restricted to primes between 8n and 9n. Gerhard "Maybe You Mean Something Else?" Paseman, 2019.06.17.
Jun 18, 2019 at 2:53 history edited mamiladi CC BY-SA 4.0
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Jun 18, 2019 at 0:57 history edited mamiladi CC BY-SA 4.0
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Jun 18, 2019 at 0:15 history asked mamiladi CC BY-SA 4.0