

A330367


Lexicographically earliest sequence of distinct nonprime terms that turns into a sequence of distinct prime numbers when the "slide the digits, don't touch the commas" operation is applied (see the Comments and Example sections).


3



1, 12, 15, 111, 3633, 28, 9, 14, 314, 114, 611, 514, 3332, 4, 18, 112, 312, 1313, 138, 33, 38, 213, 183, 332, 6, 1315, 2812, 215, 212, 3141, 1317, 8, 315, 148, 3635, 316, 3636, 319, 3438, 2115, 1813, 831, 21, 3831, 24, 511, 1316, 6313, 231, 35, 8113, 836, 5313, 636, 3639, 23631, 26, 39, 3837, 41856, 56, 412
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OFFSET

1,2


COMMENTS

Even digits "e" must slide "e" positions to the left; odd digits "o" must slide "o" positions to the right. Commas must stay where they are.
Maximum value for terms 1500 is 8481315. Statistics of digits 09 for terms 1500 is (0, 508, 147, 600, 180, 229, 207, 43, 212, 23). Lars Blomberg, Dec 16 2019


LINKS



EXAMPLE

To understand the operation described in the Comments section, we superpose hereunder S and T, S being this sequence and T the result of the said operation:
S = 1, 12, 15, 111, 3633, 28, 9, 14, 314, 114, 611, ...
T = 2, 11, 61, 811, 1523, 43, 3, 41, 641, 311, 941, ...
The first digit "1" of S is now the first digit of 11 in T;
the second digit "1" of S is now the second digit of 11 in T;
the first digit "2" of S is now the first digit of T;
the first digit "1" of 15 in S is now the last digit of 61 in T;
the first digit "5" of S is now the second digit of 1523 in T, etc.
All terms of S are distinct and nonprimes, all terms of T are distinct and primes. The commas stayed where they were.


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



