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A069575 Numbers k >= 4 such that k contains the digit 0 in no base b with 2 < b < k. 4

%I #24 Aug 04 2024 13:38:12

%S 4,5,7,13,23,43,157,619

%N Numbers k >= 4 such that k contains the digit 0 in no base b with 2 < b < k.

%C Probably finite.

%C The next term (if it exists) is > 10000000. - Larry Reeves (larryr(AT)acm.org), Oct 12 2003

%C The next term (if it exists) is > 100000000. - _Michel Marcus_, Jul 14 2013

%C The next term (if it exists) is > 10^400. - _Nathan Fox_, Mar 09 2016

%C Every term in this sequence other than 4 is prime. - _Nathan Fox_, Mar 09 2016

%C No more terms through 10^5000. - _Jon E. Schoenfield_, Oct 13 2018

%o (PARI) isok(n) = {for (b=3, n-1, digs = digits(n, b); for (j=1, #digs, if (digs[j] == 0, return (0)););); return (1);} \\ _Michel Marcus_, Jul 14 2013

%K base,nonn,more

%O 1,1

%A _Naohiro Nomoto_, Apr 18 2002

%E Corrected by Larry Reeves (larryr(AT)acm.org), Oct 12 2003

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Last modified September 1 13:08 EDT 2024. Contains 375591 sequences. (Running on oeis4.)