A202521 Number of digits up to the end of the next prime in the sequence.

4, 1, 6, 2, 3, 8, 9, 10, 11, 13, 12, 5, 14, 15, 16, 17, 18, 20, 21, 22, 7, 24, 25, 26, 27, 19, 28, 30, 32, 33, 101, 34, 35, 36, 38, 39, 103

Offset

1,1

Comments

Draw a vertical line after each prime in the sequence. The terms of the sequence give the number of digits between the vertical lines. This is the lexicographically earliest sequence (for the next term always use the least number not yet in the sequence not leading to a contradiction) with this property. Since this allows it to "fill up" with small numbers, the sequence is a permutation of the positive integers.

Links

Table of n, a(n) for n=1..37.

Crossrefs

Sequence in context: A109915 A334467 A255198 * A247362 A098987 A174390

Adjacent sequences: A202518 A202519 A202520 * A202522 A202523 A202524

Keyword

nonn,base,more

Author

Eric Angelini, Dec 15 2011

Status

approved