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A050288 Pandigital primes. 18
10123457689, 10123465789, 10123465897, 10123485679, 10123485769, 10123496857, 10123547869, 10123548679, 10123568947, 10123578649, 10123586947, 10123598467, 10123654789, 10123684759, 10123685749 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Digits may appear multiple times; density n/log n (almost all primes are pandigital).

Note that actually a(n) is much larger than n*log(n) (see Formula section). Even for n = 10000, a(n) = 111571*n*log(n). - Zak Seidov, Jul 27 2014

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000.

Eric Weisstein's World of Mathematics, "Pandigital Number".

FORMULA

a(n) ~ n log n. - Charles R Greathouse IV, Sep 14 2012

Intersection of A171102 and A000040. - Charles R Greathouse IV, May 04 2013

MATHEMATICA

ta={{0}}; Do[u=Union[IntegerDigits[n]]; If[Equal[u, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}]&&PrimeQ[n], ta=Append[ta, n]], {n, 10123456789, 20000000000}]; ta (Labos)

PROG

(PARI) is(n)=isprime(n) && #vecsort(digits(n), , 8)>9 \\ Charles R Greathouse IV, May 04 2013

CROSSREFS

Cf. A050278.

Sequence in context: A172688 A112388 A225298 * A173051 A159569 A159292

Adjacent sequences:  A050285 A050286 A050287 * A050289 A050290 A050291

KEYWORD

nonn,base

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified October 23 03:24 EDT 2014. Contains 248411 sequences.