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

Author

Vladimir Joseph Stephan Orlovsky, Mar 13 2010

Keywords

• nonn

Comments

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

Crossrefs

Cf. A014574

Programs

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