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 A184777 Primes of the form 2k + floor(k*sqrt(2)). 6
 3, 13, 17, 23, 37, 47, 61, 71, 109, 139, 157, 163, 167, 191, 211, 269, 283, 293, 307, 317, 331, 389, 409, 419, 433, 443, 457, 467, 491, 563, 577, 587, 607, 617, 631, 641, 727, 751, 757, 761, 809, 829, 839, 853, 863, 877, 887, 911, 983, 1031, 1051, 1061, 1109, 1123, 1171, 1181, 1201, 1229, 1249, 1259, 1283, 1297, 1307, 1321, 1399, 1423, 1427, 1433, 1447, 1451, 1471, 1481, 1543, 1553, 1567, 1597, 1601, 1621, 1669, 1693, 1741, 1789, 1823, 1847, 1867, 1877, 1901 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 EXAMPLE See A184774. MATHEMATICA r=2^(1/2); s=r/(r-1); a[n_]:=Floor [n*r];  (* A001951 *) b[n_]:=Floor [n*s];  (* A001952 *) Table[a[n], {n, 1, 120}] t1={}; Do[If[PrimeQ[a[n]], AppendTo[t1, a[n]]], {n, 1, 600}]; t1 t2={}; Do[If[PrimeQ[a[n]], AppendTo[t2, n]], {n, 1, 600}]; t2 t3={}; Do[If[MemberQ[t1, Prime[n]], AppendTo[t3, n]], {n, 1, 300}]; t3 t4={}; Do[If[PrimeQ[b[n]], AppendTo[t4, b[n]]], {n, 1, 600}]; t4 t5={}; Do[If[PrimeQ[b[n]], AppendTo[t5, n]], {n, 1, 600}]; t5 t6={}; Do[If[MemberQ[t4, Prime[n]], AppendTo[t6, n]], {n, 1, 300}]; t6 (* the lists t1, t2, t3, t4, t5, t6 match the sequences A184774, A184775, A184776 , A184777, A184778, A184779 *) CROSSREFS Cf. A184774, A184778, A184779. Sequence in context: A038883 A141188 A019347 * A339329 A045433 A216535 Adjacent sequences:  A184774 A184775 A184776 * A184778 A184779 A184780 KEYWORD nonn AUTHOR Clark Kimberling, Jan 21 2011 STATUS approved

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Last modified May 16 19:46 EDT 2021. Contains 343951 sequences. (Running on oeis4.)