A309706 Smallest number that contains the first n primes as substrings in base 10. Substrings go from left to right, but numbers in the substrings can be separated by several numbers.

2, 23, 235, 2357, 112357, 112357, 112357, 1123579, 1123579, 1123579, 1231579, 1231579, 12341579, 12431579, 12431579, 12453179, 12453179, 124536179, 124536179, 1124536719, 1234567139, 1234567139, 12345671839, 12345671839, 12456783197, 102456783197, 102456783197, 102456783197

Offset

1,1

Comments

The version with subsequences of contiguous numbers is A054261.

The sequence is nondecreasing, by definition.

Links

Table of n, a(n) for n=1..28.

Formula

a(n) <= A054261(n). - David A. Corneth, Aug 28 2019

Example

The series starts as A054261, but 112357 is followed by 112357 because 13 can be obtained with a subsequence '1','3' which is interrupted by '2'.

Crossrefs

Cf. A054261, A240959.

Sequence in context: A098739 A287353 A091762 * A240959 A054261 A019518

Adjacent sequences: A309703 A309704 A309705 * A309707 A309708 A309709

Keyword

nonn,base

Author

Vincent Champain, Aug 28 2019

Extensions

a(11)-a(28) from David A. Corneth, Aug 28 2019

Status

approved