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A228415
Count of the first 10^n primes which do not contain the digit 3.
0
1, 7, 54, 534, 4909, 45405, 385008, 3539880, 32260781, 294001190, 2564080248, 23271246324, 211753431947
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OFFSET
0,2
LINKS
Table of n, a(n) for n=0..12.
FORMULA
a(n) <= 9^n. -
Charles R Greathouse IV
, May 21 2014
EXAMPLE
a(1) = 7 since there are 7 primes in the first 10 (through 29) that do not contain a 3. Namely: 2, 5, 7, 11, 17, 19, 29.
MATHEMATICA
Table[Length[Select[Range[10^n], DigitCount[Prime[#], 10, 3] == 0 &]], {n, 0, 5}] (*
Robert Price
, Mar 23 2020 *)
CROSSREFS
Cf.
A231412
,
A228413
-
A228421
,
A097952
,
A091634
-
A091643
.
Sequence in context:
A093742
A291703
A014509
*
A084065
A200140
A298104
Adjacent sequences:
A228412
A228413
A228414
*
A228416
A228417
A228418
KEYWORD
more
,
nonn
,
base
,
hard
AUTHOR
Robert Price
, Nov 09 2013
EXTENSIONS
a(12) from
Lucas A. Brown
, Mar 19 2024
STATUS
approved