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Smallest possible prime with at least n (from 2 to 10) distinct digits that remains prime (leading zeros not allowed) when all occurrences of its digits d are deleted.
7

%I #8 Apr 03 2023 10:36:09

%S 23,137,6173,37019,5600239,476710937,8192454631,1645957688093,

%T 78456580281239

%N Smallest possible prime with at least n (from 2 to 10) distinct digits that remains prime (leading zeros not allowed) when all occurrences of its digits d are deleted.

%H C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_110.htm">PrimePuzzle 110</a>

%H C. K. Caldwell, <a href="https://t5k.org/curios/page.php?short=5600239">Prime Curios! 5600239</a>

%H C. K. Caldwell, <a href="https://t5k.org/curios/page.php?short=476710937">Prime Curios! 476710937</a>.

%e 5600239 is a solution for at least 6 digits because 56239, 560039, 560029, 600239, 500239 and 560023 are all primes.

%Y Cf. A057876-A057882, A051362, A034302-A034305.

%K nonn,base,fini,full

%O 2,1

%A _Patrick De Geest_, Oct 15 2000

%E More terms from _Giovanni Resta_, Feb 15 2006