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A032577
Numbers k whose decimal representation, read as a base-23 value and divided by k, yields an integer.
2
1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 26, 39, 169, 221, 442, 663, 884, 2405, 2873, 2912, 5980, 26455, 28730, 29120, 31667, 42441, 48841, 52900, 74435, 84882, 104650, 132808, 139380, 413738, 20392554, 23490402, 25209381, 32287569, 234904020, 239235484
OFFSET
1,2
COMMENTS
Original name: Base 23 value of decimal denominator divided by this decimal value (n) is an integer.
Next term is > 2*10^14 - 1. - Frank A. Stevenson, Jan 02 2024
a(68) <= 339601420613312. - David A. Corneth, Jan 02 2024
LINKS
Frank A. Stevenson, Table of n, a(n) for n = 1..67
EXAMPLE
2405 is a term: 2405_23 = 26455 = 2405*11. - Jon E. Schoenfield, Oct 25 2019
PROG
(Python) list(filter(lambda n: int(str(n), 23) % n==0, [i for i in range(1, 500000)])) # Frank A. Stevenson, Jan 02 2024
(PARI) is(n) = denominator(fromdigits(digits(n), 23)/n) == 1 \\ David A. Corneth, Jan 02 2024
CROSSREFS
Sequence in context: A304246 A271837 A290950 * A244155 A066310 A342226
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Apr 15 1998
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), Sep 27 2000
Offset changed and Name edited by Jon E. Schoenfield, Oct 25 2019
STATUS
approved