|
|
A372103
|
|
The first n primes interpreted as digits in base prime(n+1).
|
|
0
|
|
|
2, 13, 124, 3087, 64660, 3117065, 102223912, 7288040287, 1055368261516, 55582020481869, 10025310041948140, 1142621051584775677, 82818850586971127398, 11283315480373831581813, 2840525835404253352402868, 749937387889627635858910767, 75361395412432048667844493160
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn,base,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|