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A343048 a(n) is the least number whose sum of digits in primorial base equals n.

%I A343048 #12 Nov 14 2024 08:21:48
%S A343048 0,1,3,5,11,17,23,29,59,89,119,149,179,209,419,629,839,1049,1259,1469,
%T A343048 1679,1889,2099,2309,4619,6929,9239,11549,13859,16169,18479,20789,
%U A343048 23099,25409,27719,30029,60059,90089,120119,150149,180179,210209,240239,270269
%N A343048 a(n) is the least number whose sum of digits in primorial base equals n.
%C A343048 Equivalently, this sequence gives positions of records in A276150.
%H A343048 Rémy Sigrist, <a href="/A343048/b343048.txt">Table of n, a(n) for n = 0..10000</a>
%H A343048 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A343048 A276150(a(n)) = n.
%F A343048 a(n) = A060735(n)-1. - _Antti Karttunen_, Nov 14 2024
%e A343048 The first terms, alongside their primorial base representation, are:
%e A343048   n   a(n)  prim(a(n))
%e A343048   --  ----  ----------
%e A343048    0     0           0
%e A343048    1     1           1
%e A343048    2     3          11
%e A343048    3     5          21
%e A343048    4    11         121
%e A343048    5    17         221
%e A343048    6    23         321
%e A343048    7    29         421
%e A343048    8    59        1421
%e A343048    9    89        2421
%e A343048   10   119        3421
%e A343048   11   149        4421
%e A343048   12   179        5421
%e A343048   13   209        6421
%e A343048   14   419       16421
%e A343048   15   629       26421
%o A343048 (PARI) a(n) = my (v=0, pp=1); forprime (p=2, oo, if (n==0, return (v), my (d=min(p-1, n)); n-=d; v+=d*pp; pp*=p))
%Y A343048 Cf. A200748, A276150.
%Y A343048 One less than A060735.
%Y A343048 Cf. also A372559.
%K A343048 nonn,base
%O A343048 0,3
%A A343048 _Rémy Sigrist_, Apr 05 2021