

A266991


Smallest representatives of primes of distinct digital types.


2



2, 11, 13, 101, 103, 113, 199, 1009, 1013, 1021, 1033, 1039, 1103, 1117, 1151, 1303, 1511, 1777, 10007, 10037, 10061, 10099, 10103, 10111, 10133, 10139, 10141, 10211, 10223, 10243, 10271, 10301, 10303, 10313, 10331, 10333, 10343, 10399, 10513, 10607, 11003
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OFFSET

1,1


COMMENTS

Numbers of different digital types for ndigit primes are 1,2,4,11,...


LINKS

Peter J. C. Moses, Table of n, a(n) for n = 1..5000


EXAMPLE

The first 3digit prime is 101=a(4).
The following 3digit prime is 103. It does not have the same digital type as 101, since in 103 there are 3 distinct digits, but not in 101. So a(5)=103.
The next two primes 107 and 109 belongs to type 103.
Next consider 113. Here the first two digits are the same, but in 101 and 103 they are not. So 113 is a new type, and a(6)=113.
It remains to find the smallest prime of form XYY. It is 199=a(7).
Now we see that every 3digit prime is of one of the 4 types a(4),a(5),a(6),a(7).
Next we consider the first 4digit number a(8)=1009, etc.


CROSSREFS

Cf. A264406, A266946.
Sequence in context: A042563 A041163 A073914 * A041971 A299531 A106660
Adjacent sequences: A266988 A266989 A266990 * A266992 A266993 A266994


KEYWORD

nonn,base


AUTHOR

Vladimir Shevelev, Jan 08 2016


EXTENSIONS

More terms from Peter J. C. Moses, Jan 08 2016


STATUS

approved



