A239746 Records in A016014.
1, 2, 3, 5, 6, 7, 10, 12, 15, 17, 24, 30, 42, 54, 57, 60, 63, 72, 74, 83, 84, 91, 96, 104, 106, 120, 123, 129, 138, 139, 144, 147, 149, 153, 155, 203, 219, 240, 245, 259
Offset: 1
Programs
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Mathematica
km = 0; Reap[Do[k = 1; While[ ! PrimeQ[2*n*k + 1], k++]; If[k > km, km = k; Sow[k]], {n, 20000}]][[2, 1]] lk[n_]:=Module[{k=1},While[!PrimeQ[2n k+1],k++];k];DeleteDuplicates[Array[ lk,10^7],GreaterEqual] (* Harvey P. Dale, Jun 20 2023 *)
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PARI
A016014(n)=my(k); while(!isprime(2*n*k+++1), ); k r=0; for(n=1, 1e8, t=A016014(n); if(t>r, r=t; print1(r", "))) \\ Jianing Song, Mar 09 2021, based on the program of A239727
Extensions
a(37)-a(40) from Giovanni Resta, Mar 26 2014