A083273 a(n) is the quotient of lcm of first n consecutive prime differences and A001223[n], the n-th term of consecutive p-differences.

1, 1, 1, 1, 2, 1, 2, 1, 2, 6, 2, 3, 6, 3, 2, 2, 6, 2, 3, 6, 2, 3, 2, 3, 6, 12, 6, 12, 6, 12, 42, 28, 84, 84, 420, 140, 140, 210, 140, 140, 420, 84, 420, 210, 420, 70, 70, 210, 420, 210, 140, 420, 84, 140, 140, 140, 420, 140, 210, 420, 84, 60, 210, 420, 210, 60, 140, 84, 420, 210

Offset

1,5

Links

Table of n, a(n) for n=1..70.

Formula

a(n)=A080374[n]/A001223[n]

Mathematica

ld[x_] := Apply[LCM, Table[Prime[w+1]-Prime[w], {w, 1, x}]] Table[ld[j]/(Prime[j+1]-Prime[j]), {j, 1, 100}]

Crossrefs

Cf. A001223, A080374-A080376.

Sequence in context: A215745 A059913 A329602 * A353398 A193163 A106157

Adjacent sequences: A083270 A083271 A083272 * A083274 A083275 A083276

Keyword

nonn

Author

Labos Elemer, May 15 2003

Status

approved