A176915 Average of n-th twin prime pair minus total number of prime factors of average of n-th twin prime pair.

2, 4, 9, 15, 27, 39, 56, 67, 99, 103, 135, 146, 175, 185, 194, 224, 234, 265, 279, 307, 344, 415, 425, 458, 518, 566, 594, 615, 639, 655, 804, 819, 823, 854, 877, 1015, 1027, 1045, 1058, 1087, 1143, 1226, 1274, 1286, 1298, 1314, 1423, 1447, 1478, 1482, 1603

Offset

1,1

Comments

Prime factors are counted with multiplicity. [from Harvey P. Dale, Aug 19 2011]

Links

Table of n, a(n) for n=1..51.

Formula

a(n)=A014574(n)-A078571(n).

Mathematica

f[n_]:=Module[{mn=Mean[n]}, mn-PrimeOmega[mn]]; f/@Select[Partition[ Prime[ Range[300]], 2, 1], Last[#]-First[#]==2&] (* Harvey P. Dale, Aug 19 2011 *)

Crossrefs

Sequence in context: A072846 A157254 A080004 * A060742 A060737 A266647

Adjacent sequences: A176912 A176913 A176914 * A176916 A176917 A176918

Keyword

nonn

Author

Juri-Stepan Gerasimov, Apr 28 2010

Extensions

Formula index, a(8), a(15) and a(23) corrected by R. J. Mathar, May 01 2010

Status

approved