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A370132
Numbers with no digit larger than 2 in primorial base, A049345.
5
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 240, 241, 242, 243
OFFSET
1,3
COMMENTS
Numbers k for which A328114(k) <= 2.
Numbers k such that A276086(k) is cubefree (in A004709).
MATHEMATICA
q[n_] := Module[{k = n, p = 2, s = {}, r}, While[{k, r} = QuotientRemainder[k, p]; k != 0 || r != 0, AppendTo[s, r]; p = NextPrime[p]]; Count[s, _?(# > 2 &)] == 0]; Select[Range[0, 250], q] (* Amiram Eldar, Mar 06 2024 *)
PROG
(PARI)
ismaxprimobasedigit_at_most(n, k) = { my(s=0, p=2); while(n, if((n%p)>k, return(0)); n = n\p; p = nextprime(1+p)); (1); };
isA370132(n) = ismaxprimobasedigit_at_most(n, 2);
CROSSREFS
Subsequence of A370133.
Subsequences: A328242, A276156 and its subsequences: A002110, A143293.
Sequence in context: A113221 A113219 A179978 * A023771 A132033 A194966
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Feb 10 2024
STATUS
approved