A392611 Numbers whose least significant nonzero digit is 1 in the primorial base representation (A049345), and that have also a digit larger than 1.

5, 11, 13, 14, 15, 17, 19, 20, 21, 23, 25, 26, 27, 29, 35, 41, 43, 44, 45, 47, 49, 50, 51, 53, 55, 56, 57, 59, 61, 62, 63, 65, 66, 67, 68, 69, 71, 73, 74, 75, 77, 79, 80, 81, 83, 85, 86, 87, 89, 91, 92, 93, 95, 96, 97, 98, 99, 101, 103, 104, 105, 107, 109, 110, 111, 113, 115, 116, 117, 119, 121, 122, 123, 125, 126

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..20000

Index entries for sequences related to primorial base.

Formula

{k such that A276088(k) = 1 and A328114(k) > 1}.

Example

122 is included, as its primorial base expansion, A049345(122) = 4010, has 1 as the least significant (rightmost) nonzero digit, and also contains a digit larger than 1 (in this case 4) somewhere left of that rightmost 1.

Prog

(PARI) is_A392611(n) = { my(p=2, e=0); while(n, if(n%p, e++; if(n%p > 1, return(e>1))); n \= p; p = nextprime(1+p)); (0); };

Crossrefs

Cf. A049345, A276088, A328114.

Intersection of A177711 and A381035.

Subsequences: A381034, A392606.

Sequence in context: A070369 A357995 A104215 * A394706 A287123 A227146

Adjacent sequences: A392608 A392609 A392610 * A392612 A392613 A392614

Keyword

nonn,base,easy

Author

Antti Karttunen, Jan 23 2026

Status

approved