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).

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

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 1-500 is 8481315. Statistics of digits 0-9 for terms 1-500 is (0, 508, 147, 600, 180, 229, 207, 43, 212, 23). Lars Blomberg, Dec 16 2019

Links

Lars Blomberg, Table of n, a(n) for n = 1..500

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

Sequence in context: A109315 A024875 A152190 * A079322 A167304 A191966

Adjacent sequences: A330364 A330365 A330366 * A330368 A330369 A330370

Keyword

nonn,base

Author

Eric Angelini and Lars Blomberg, Dec 12 2019

Extensions

Corrected a(55) and onwards by Lars Blomberg, Dec 16 2019

Status

approved