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A050288 Pandigital primes. 29
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
KEYWORD
nonn,base
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)