A247861 -id:A247861 - cp's OEIS frontend

A258481 Whole number sieve of Phi.

1, 3, 9, 48, 4, 8, 9, 9, 6, 5, 5, 0, 28, 70, 0, 89, 11, 48, 5, 8, 7, 8, 53, 3, 0, 26, 4, 6, 5, 9, 5, 8, 26, 3, 6, 20, 9, 1, 3, 43, 6, 86, 43, 4, 0, 0, 80, 7, 4, 4, 9, 1, 3, 86, 4, 77, 4, 70, 8, 74, 4, 2, 7, 6, 9, 88, 74, 7, 57, 8, 4, 0, 0, 28, 4, 62, 3, 4, 170, 6, 69, 87, 2

Offset: 1

Manfred Scheucher, Jun 05 2015

			Find the first occurrence of 0 (the first whole number) in the digits of Phi (only 35 digits in this illustration):
16180339887498948482045868343656381..., and replace it with a space:
1618 339887498948482045868343656381...  Repeat the process with the next whole number, 1:
618 339887498948482045868343656381...  Then 2:
618 33988749894848 045868343656381...  Then 3:
618  3988749894848 045868343656381...  Then 4,5,6,7, etc., until the first occurrence of every counting number is eliminated from the digits of Phi.
  1   3     9    48 04 8           ...  Then consolidate gaps between the remaining digits into a single comma:
1,3,9,48,4,8,9,9,6,5,5,0,28,70,0,  ...  to produce the first terms in the whole number sieve of Phi.

Manfred Scheucher, Table of n, a(n) for n = 1..550
Manfred Scheucher, Sage Script.

Cf. A001622, A247861, A247747, A257835, A258640.

A246022 Prime sieve of Champernowne constant A033307.

Original entry on oeis.org

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

N. J. A. Sloane, Aug 14 2014

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, ...

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

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

More terms from Manfred Scheucher, Jun 05 2015

cp's OEIS Frontend

A258481 Whole number sieve of Phi.

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