A143243 a(n) = the smallest multiple of the n-th prime such that (a(n)+1) is divisible by both the (n-1)th prime and the (n+1)st prime.

9, 20, 329, 363, 1495, 493, 2736, 12121, 8555, 19313, 25419, 7954, 30831, 102554, 69324, 174581, 19764, 229542, 303241, 33653, 139356, 267177, 611875, 26966, 629432, 972629, 449079, 822187, 27685, 503301, 1043939, 1037912, 2694515

Offset

2,1

Links

Table of n, a(n) for n=2..34.

Mathematica

a[n_]:=Module[{i=1}, Until[Divisible[p+1, Prime[n-1]]&&Divisible[p+1, Prime[n+1]], i++; p=Prime[n]*i]; p]; Array[a, 33, 2] (* James C. McMahon, Aug 18 2025 *)

Crossrefs

Cf. A143244.

Sequence in context: A282763 A013338 A008847 * A157812 A218164 A161326

Adjacent sequences: A143240 A143241 A143242 * A143244 A143245 A143246

Keyword

nonn

Author

Leroy Quet, Aug 01 2008

Extensions

Extended by Ray Chandler, Aug 08 2008

Status

approved