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

1,2

Links

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

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 *)

Crossrefs

Sequence in context: A265499 A126897 A296810 * A218040 A158229 A031708

Adjacent sequences: A067262 A067263 A067264 * A067266 A067267 A067268

Keyword

easy,nonn

Author

Benoit Cloitre, Feb 21 2002

Status

approved