A337614 -id:A337614 - cp's OEIS frontend

A334050 Lexicographically earliest sequence of distinct positive integers such that the concatenation of any four successive digits forms a prime.

1, 2, 3, 7, 19, 31, 9, 13, 73, 33, 137, 39, 311, 93, 11, 931, 91, 37, 331, 373, 313, 733, 191, 3733, 319, 1373, 3137, 333, 1913, 739, 3119, 337, 193, 119, 3191, 3739, 31193, 371, 933, 71, 9311, 9319, 13733, 13739, 31913, 7331, 913, 7333, 19137, 393, 1193, 3719, 3371, 9337, 1931, 1933, 719, 3373

Offset: 1

Eric Angelini and Jean-Marc Falcoz, Sep 06 2020

			The first terms 1, 2, 3, 7, 19, 31, 9,... form (when 4 successive digits are concatenated) the prime numbers 1237, 2371, 3719, 7193, 1931, 9319, ...

Jean-Marc Falcoz, Table of n, a(n) for n = 1..500

Cf. A091633, A337613 (same idea, 2 successive digits), A337614 (3 successive digits).

A337613 Lexicographically earliest sequence of distinct positive integers such that the concatenation of any two successive digits forms a prime.

Original entry on oeis.org

1, 3, 7, 9, 71, 11, 13, 17, 19, 73, 79, 711, 31, 37, 97, 111, 113, 117, 119, 713, 131, 137, 171, 173, 179, 717, 197, 311, 313, 719, 731, 317, 319, 737, 371, 373, 797, 379, 7111, 971, 973, 1111, 979, 7113, 1113, 1117, 1119, 7117, 1131, 1137, 1171, 1173, 1179, 7119, 7131, 1197, 1311, 1313, 1317, 1319, 7137

Offset: 1

Eric Angelini and Jean-Marc Falcoz, Sep 05 2020

Only the digits 1, 3, 7 and 9 are in the sequence as a term ending in 0, 2, 4, 5, 6 or 8 would not be prime.

			The first terms 1, 3, 7, 9, 71, 11, 13, 17,... form (when 2 successive digits are concatenated) the prime numbers 13, 37, 79, 97, 11, 11, 31, 17,...

Cf. A337614 (same idea, 3 successive digits).

cp's OEIS Frontend

A334050 Lexicographically earliest sequence of distinct positive integers such that the concatenation of any four successive digits forms a prime.

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