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The sum of the prime digits of m and the sum of the nonprime digits of m differ by n.
1

%I #15 Oct 12 2023 16:39:57

%S 1,2,3,4,5,6,7,8,9,19,119,48,49,68,69,88,89,99,199,488,489,499,689,

%T 699,889,899,999,1999,4889,4899,4999,6899,6999,8899,8999,9999,19999,

%U 48899,48999,49999,68999,69999,88999,89999,99999,199999,488999

%N The sum of the prime digits of m and the sum of the nonprime digits of m differ by n.

%C This is the lexicographically earliest sequence of distinct terms > 0 with this property.

%C The nonprime digits are 0, 1, 4, 6, 8 and 9; the prime digits are 2, 3, 5 and 7. After a(7) = 7 no more terms will show a prime digit.

%H Carole Dubois, <a href="/A341161/b341161.txt">Table of n, a(n) for n = 1..74</a>

%e The sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 119, 48,...

%e Sum of prime dig. 0 2 3 0 5 0 7 0 0 0 0 0

%e Sum of nonprimes 1 0 0 4 0 6 0 8 9 10 11 12

%e Difference (= n) 1 2 3 4 5 6 7 8 9 10 11 12

%Y Cf. A085562, A085563, A341011.

%K base,nonn

%O 1,2

%A _Carole Dubois_ and _Eric Angelini_, Feb 06 2021