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Smallest prime p such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order in 3 * p.
0

%I #3 Jun 01 2011 00:36:39

%S 5,7,41,14071,4751,41521,4114189,41115229,411452263,3411452263

%N Smallest prime p such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order in 3 * p.

%C See A178341

%C Semiprime N = 3 * p, p a prime, sod(N) a multiple of 3

%e 5 * 3 = 15, 5 = prime(3)

%e 7 * 3 = 21, 7 = prime(4)

%e 41 * 3 = 123, 41 = prime(13)

%e 14071 * 3 = 42213, 14071 = prime(1659)

%e 4751 * 3 = 14253, 4751 = prime(640)

%e 41521 * 3 = 124563, 41521 = prime(4343)

%e 4114189 * 3 = 12342567, 4114189 = prime(290704)

%e 41115229 * 3 = 123345687, 41115229 = prime(2497340)

%e 411452263 * 3 = 1234356789, 411452263 = prime(21913969)

%e 3411452263 * 3 = 10234356789, 3411452263 = prime(163246897)

%Y Cf. A178303, A178341.

%K base,easy,fini,full,nonn

%O 1,1

%A Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), May 25 2010