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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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// Applied dendrology. Nigel Galloway: February 15., 2021
let uT a=let N,G=Array.create(a+1) true, [|yield! primes64()|>Seq.takeWhile((>)(int64 a))|]
let fN n i e=let mutable p=e-1 in (fun()->p<-p+1; if p<G.Length && (n+i)*(1L+G.[p])-n*G.[p]<=(int64 a) then Some(n,i,p) else None)
let fG n i e=let g=n+i in let mutable n,l,p=n,1L,1L
(fun()->n<-n*G.[e]; p<-p*G.[e]; l<-l+p; let i=g*l-n in if i<=(int64 a) then Some(n,i,e) else None)
let rec fL n g=match n() with Some(f,i,e)->N.[(int i)]<-false; fL n ((fN f i (e+1))::g)
|_->match g with n::t->match n() with Some (n,i,e)->fL (fG n i e) g |_->fL n t
|_->N.[0]<-false; N
fL (fG 1L 0L 0) [fN 1L 0L 1]

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uT 2000|>Array.mapi(fun n g->(n,g))|>Array.filter(fun(_,n)->n)|>Array.chunkBySize 30|>Array.iter(fun n->n|>Array.iter(fst>>printf "%5d");printfn "")

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printfn "%d" (uT 100000|>Array.filter id|>Array.length)

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printfn "%d" (uT 1000000|>Array.filter id|>Array.length)

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printfn "%d" (uT 2000000|>Array.filter id|>Array.length)

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printfn "%d" (uT 3000000|>Array.filter id|>Array.length)