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Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278).
1

%I #7 Mar 31 2018 14:44:37

%S 10545,11602,16237,17984,19978,21788,28046,28666,28669,28693,28928,

%T 29629,30698,30896,32869,33438,34699,35373,37198,37300,37639,39273,

%U 39477,39755,39756,41859,42003,42219,42490,42538,42619,42624

%N Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278).

%C This is the complement of the finite list of n such that prime(n) divides one or more 10-digit pandigital numbers. That finite list has been obtained by computer; it contains 1102173 numbers, with the first number that is not in the list being 10545 and the last that is in the list being 55537259.

%C A292471 is the corresponding list of primes.

%C These are the values of n for which A180489(n) has more than 10 digits, and also the values of n for which A274328(n) = 0.

%e a(1) = 10545 because prime(10545) = 111119 does not divide any of the 10-digit pandigital numbers 1023456789, 1023456798, ..., 9876543210, and all smaller primes do divide at least one of them.

%Y Cf. A050278, A061604, A180489, A274328, A292471.

%K nonn,base

%O 1,1

%A _David J. Seal_, Sep 21 2017