A138165 - OEIS

A138165

Prime numbers that contain each of the digits 0,1,4,6,8,9 exactly once.

104869, 108649, 140689, 140869, 148609, 164089, 164809, 168409, 184609, 186049, 401689, 406981, 408169, 408691, 409861, 416089, 418069, 460189, 460891, 460981, 468019, 468109, 469801, 480169, 486091, 489061, 498061, 601849, 604189, 604819

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OFFSET

1,1

COMMENTS

There are 66 terms. Each product 2*3*5*7*a(n) is a squarefree number whose prime factorization (ignoring exponents) contains exactly one of each decimal digit, so each product is a term of A058909. (The primes 2,3,5,7 are the only single-digit primes in base 10.)

LINKS

Rick L. Shepherd, Table of n, a(n) for n = 1..66 (full sequence)

MATHEMATICA

Select[Prime[Range[10000, 50000]], SequenceCount[DigitCount[#], {1, _, _, 1, _, 1, _, 1, 1, 1}]>0&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jul 07 2020 *)

CROSSREFS

Cf. A058909.

Sequence in context: A174293 A186877 A304283 * A202934 A203822 A013889

Adjacent sequences: A138162 A138163 A138164 * A138166 A138167 A138168

KEYWORD

base,easy,fini,full,nonn

AUTHOR

Rick L. Shepherd, Mar 03 2008

STATUS

approved