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

Author

Vincent Champain, Aug 28 2019

Keywords

• nonn
• base

Comments

The version with subsequences of contiguous numbers is A054261.

The sequence is nondecreasing, by definition.

Examples

			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.

Formula

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

Extensions

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