

A078348


Primes p such that every decimal digit d in p appears exactly d times.


2



3313, 3331, 32233, 32323, 33223, 123323, 132233, 223133, 223313, 223331, 231323, 233231, 312233, 321323, 323123, 3344443, 3434443, 3443443, 4434343, 4443433, 14334443, 14443343, 14443433, 31434443, 31443443, 33434441, 33555553
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OFFSET

1,1


COMMENTS

The largest term is the prime 99999999988888888777777766666655555444223343.


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000


EXAMPLE

In the prime 3313 the digit "1" appears exactly one time and the digit "3" appears exactly three times.


MATHEMATICA

ddp[x_]:=Select[FromDigits/@Permutations[Flatten[PadRight[{}, #, #]&/@x]], PrimeQ]; Take[Flatten[ddp/@Subsets[Range[5]]]//Sort, 40] (* Harvey P. Dale, May 13 2020 *)


CROSSREFS

Sequence in context: A181559 A180679 A251900 * A078963 A236643 A175277
Adjacent sequences: A078345 A078346 A078347 * A078349 A078350 A078351


KEYWORD

base,easy,fini,nonn


AUTHOR

Carlos Rivera, Nov 22 2002


STATUS

approved



