A283621 Smallest term A001043(k) with k>n such that A001043(k) is multiple of A001043(n).

30, 24, 24, 36, 120, 60, 144, 84, 520, 120, 204, 390, 840, 360, 300, 1120, 240, 384, 276, 288, 456, 648, 2064, 372, 396, 1428, 630, 648, 2886, 480, 1290, 3216, 828, 576, 600, 924, 1920, 990, 1360, 2112, 3240, 2604, 1920, 1560, 1584, 1230, 2604, 1350, 2280, 924

Offset

1,1

Links

Table of n, a(n) for n=1..50.

Zak Seidov, Table of {n, m=A001043(n), k, a(n)=A001043(k), a(n)/m} for n = 1..200.

Example

a(1)=30 because A001043(1)=5 and A001043(6)=30=6*5,
a(2)=24 because A001043(2)=8 and A001043(5)=24=3*8,
a(5)=120 because A001043(1)=24 and A001043(17)=120=5*24.

Mathematica

With[{s = #}, Table[k = n + 1; While[! Divisible[s[[k]], s[[n]]], k++]; s[[k]], {n, 50}]] &@ Map[Total, Partition[Prime@ Range[10^4 + 1], 2, 1]] (* Michael De Vlieger, Mar 13 2017, after Harvey P. Dale at A001043 *)

Crossrefs

Cf. A001043 (sums of 2 successive primes).

Sequence in context: A361029 A268855 A117749 * A100935 A112026 A022986

Adjacent sequences: A283618 A283619 A283620 * A283622 A283623 A283624

Keyword

nonn

Author

Zak Seidov, Mar 12 2017

Status

approved