A372103 The first n primes interpreted as digits in base prime(n+1).

2, 13, 124, 3087, 64660, 3117065, 102223912, 7288040287, 1055368261516, 55582020481869, 10025310041948140, 1142621051584775677, 82818850586971127398, 11283315480373831581813, 2840525835404253352402868, 749937387889627635858910767, 75361395412432048667844493160

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Formula

a(n) = Sum_{k=0..n-1} prime(n-k)*prime(n+1)^k.

Example

a(3) = 124 = 235_7.
a(5) = 64660 = 2357b_13.

Mathematica

Table[Sum[Prime[n - k]*Prime[n + 1]^k, {k, 0, n - 1}], {n, 17}] (* Michael De Vlieger, Apr 19 2024 *)

Prog

(PARI) a(n) = sum(k=0, n-1, prime(n-k)*prime(n+1)^k); \\ Michel Marcus, Apr 19 2024

Crossrefs

Cf. A023811, A019518.

Sequence in context: A086630 A151361 A328008 * A073559 A074365 A071362

Adjacent sequences: A372100 A372101 A372102 * A372104 A372105 A372106

Keyword

nonn,base,easy

Author

Mitch Goldman, Apr 18 2024

Status

approved