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

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

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Example

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.

Mathematica

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

Prog

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

Crossrefs

Cf. A050278, A171102, A210013.

Sequence in context: A210122 A364717 A251957 * A237796 A236983 A268841

Adjacent sequences: A272549 A272550 A272551 * A272553 A272554 A272555

Keyword

nonn,base,fini,full

Author

K. D. Bajpai, May 02 2016

Status

approved