A067265 Numbers n such that prime(n+1) - prime(n) = M(n) where M(n) is the Mertens function A002321(n).

1, 226, 336, 395, 398, 552, 554, 583, 588, 805, 872, 926, 957, 961, 984, 995, 1008, 1263, 1275, 1363, 1384, 1443, 1447, 1450, 1456, 1462, 1946, 1949, 1957, 1964, 1988, 1991, 1992, 1997, 2008, 2023, 2028, 2037, 2055, 2076, 2107, 2175, 2203, 2234, 2240

Offset: 1

Author

Benoit Cloitre, Feb 21 2002

Keywords

• easy
• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Programs

Mathematica

PrimePi/@With[{nn=2500},Transpose[Select[Thread[{Partition[Prime[ Range[ nn+1]],2,1], Accumulate[Array[MoebiusMu,nn]]}]/.{{a_,b_},c_}-> {a,b,c}, #[[2]]-#[[1]]==#[[3]]&]][[1]]] (* Harvey P. Dale, Nov 23 2011 *)