A246022 Prime sieve of Champernowne constant A033307.

1, 4, 6, 10, 12, 1, 516, 18, 202122, 242, 28, 30, 3, 3, 6, 3, 94041, 444546, 4849, 52535455, 58, 60, 6, 646566, 686, 0, 72, 74, 78, 8, 848, 888990, 9495, 98, 0, 102, 104, 6, 108, 1, 112, 1141, 16, 201, 22, 26, 1, 29130, 3, 4, 6, 138, 1, 411, 44, 47148, 150, 531

Offset

1,2

Comments

Start with the decimal expansion of the Champernowne constant A033307:

12345678910111213141516171819202122232425262728293031323334353637383940\

4142434445464748495051525354555657...

Find the first occurrence of the prime 2 and replace it with a space:

1 3456789101112131415161718192021222324252627282930...

1 456789101112131415161718192021222324252627282930... Repeat the process with 3

1 4 6789101112131415161718192021222324252627282930... Then 5

1 4 6 89101112131415161718192021222324252627282930... Then 7

1 4 6 8910 12 141516 18 202122 24252627282930... Then 11, 13, 17, etc., until the first occurrence of every prime is eliminated. 89, 41, 52627, will disappear.

Then consolidate gaps between the remaining digits into a single comma:

1, 4, 6, 10, 12, 1, 516, 18, 202122, 242, 28, 30, 3, 3, 6, ...

Links

Manfred Scheucher, Table of n, a(n) for n = 1..393

Manfred Scheucher, Sage Script

Crossrefs

Suggested by A245770, A248804, A247861. Cf. A033307, A007376.

Sequence in context: A187331 A184923 A137877 * A174240 A328321 A287342

Adjacent sequences: A246019 A246020 A246021 * A246023 A246024 A246025

Keyword

nonn,base

Author

N. J. A. Sloane, Aug 14 2014

Extensions

More terms from Manfred Scheucher, Jun 05 2015

Status

approved