A210013 -id:A210013 - cp's OEIS frontend

A210019 In base 8, numbers n which have 8 distinct digits, do not start with 0, and have property that the product (written in base 8) of any two adjacent digits is a substring of n.

14326057, 14326075, 26057143, 26075143, 26143057, 26143075, 50714326, 51432607, 51462307, 57014326, 57026143, 57061432, 57062143, 57143026, 57143062, 57143206, 57143260, 60571432, 60751432, 61432057, 61432075, 62057143, 62075143, 62143057, 62143075, 70514326, 71432605, 71462305, 72305164, 73046125, 73064125, 75014326, 75026143, 75061432, 75062143, 75143026, 75143062, 75143206, 75143260

Offset: 1

N. J. A. Sloane, Mar 16 2012

Computed by Jean-Paul Davalan.

The analog in base 2 is 10; in base 3, 102,120,201,210.

Eric Angelini, 10 different digits, 9 products
E. Angelini, 10 different digits, 9 products [Cached copy, with permission]

A generalization of A198298. Cf. A210013-A210020, A203569, A203566.

A272552 Numbers n such that n*prime(n) is a pandigital number containing digits 0-9 exactly once.

Original entry on oeis.org

11376, 14562, 15057, 15723, 16659, 20421, 21330, 24867, 28494, 28746

Offset: 1

K. D. Bajpai, May 02 2016

			11376 appears in the list because 11376 * prime(11376) = 1375028496 that contains digits 0-9 only once.
15057 appears in the list because 15057 * prime(15057) = 2476108593 that contains digits 0-9 only once.

Cf. A050278, A171102, A210013.

Select[Range[100000], Sort@IntegerDigits[# Prime@#] == Range[0, 9] &]

isok(n) = my(d = digits(n*prime(n))); (#d == 10) && (#vecsort(d,,8) == 10); \\ Michel Marcus, May 02 2016

from sympy import prime
from numpy import sort
for n in range(10000,30000):
   num=sort(list(str(n*prime(n))))
   res=''.join(num)
   if(res=='0123456789'):print(n)
# Soumil Mandal, May 04 2016

cp's OEIS Frontend

A210019 In base 8, numbers n which have 8 distinct digits, do not start with 0, and have property that the product (written in base 8) of any two adjacent digits is a substring of n.

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A272552 Numbers n such that n*prime(n) is a pandigital number containing digits 0-9 exactly once.

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