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A164968 Naughty primes: primes in which the number of zeros is greater than the number of all other digits. 8
10007, 10009, 40009, 70001, 70003, 70009, 90001, 90007, 100003, 200003, 200009, 300007, 400009, 500009, 700001, 900001, 900007, 1000003, 1000033, 1000037, 1000039, 1000081, 1000099, 1000303, 1000403, 1000409, 1000507, 1000609, 1000907, 1001003, 1003001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(31) = 1003001 is the smallest palindromic naughty prime. [M. F. Hasler, Nov 22 2009]

LINKS

M. F. Hasler and Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000 (the first 5000 terms are from M. F. Hasler)

Chris Caldwell, The Prime Glossary, Naughty prime

EXAMPLE

a(24)=1000303 is a naughty prime because the number of zeros is greater than the number of all other digits.

MATHEMATICA

lst = {}; Do[If[PrimeQ[n] && Count[IntegerDigits[n], 0] > IntegerLength[n]/2, AppendTo[lst, n]], {n, 10^4 + 1, 3^13, 2}]; lst (* Arkadiusz Wesolowski, Sep 18 2011 *)

Select[Prime[Range[100000]], DigitCount[#, 10, 0]>IntegerLength[#]/2&] (* Harvey P. Dale, Jun 09 2015 *)

PROG

(PARI) next_ A164968(p)={ for( n=#Str(p)\2+1, 1e9, p=max(10^(2*n-3), p); while( 10^(2*n-1)>p=nextprime(p+1), vecsort(Vecsmall(Str(p)))[n]==48 & return(p)); p=0) } \\ [M. F. Hasler, Nov 22 2009]

CROSSREFS

Sequence in context: A082567 A031598 A210760 * A165296 A182697 A101442

Adjacent sequences:  A164965 A164966 A164967 * A164969 A164970 A164971

KEYWORD

base,nonn

AUTHOR

G. L. Honaker, Jr., Sep 02 2009

STATUS

approved

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Last modified May 25 08:37 EDT 2017. Contains 287015 sequences.