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A174242 Least of 3 consecutive integers such that product of them is average of twin prime pairs. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A044994 A242900 A299403 * A022415 A299983 A188373

Adjacent sequences:  A174239 A174240 A174241 * A174243 A174244 A174245

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Mar 13 2010

STATUS

approved

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Last modified July 16 23:49 EDT 2019. Contains 325092 sequences. (Running on oeis4.)