A174242 Least of 3 consecutive integers such that product of them is average of twin prime pairs.

1, 3, 10, 13, 14, 20, 30, 34, 40, 44, 110, 129, 135, 139, 154, 175, 188, 220, 229, 238, 273, 315, 405, 413, 440, 464, 465, 503, 520, 560, 569, 579, 583, 590, 685, 688, 695, 758, 833, 835, 859, 868, 903, 959, 1025, 1158, 1378, 1538, 1613, 1624, 1659, 1669

Offset

1,2

Comments

1*2*3=6+-1 -> primes, 3*4*5=60+-1 -> primes,...

Links

Table of n, a(n) for n=1..52.

Mathematica

f1[n_]:=PrimeQ[n-1]&&PrimeQ[n+1]; f2[n_]:=n*(n+1)*(n+2); lst={}; Do[If[f1[f2[n]], AppendTo[lst, n]], {n, 8!}]; lst

Crossrefs

Cf. A014574

Sequence in context: A242900 A358266 A299403 * A022415 A344619 A299983

Adjacent sequences: A174239 A174240 A174241 * A174243 A174244 A174245

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 13 2010

Status

approved