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A091641 Number of primes less than 10^n which do not contain the digit 7. 10
3, 16, 100, 680, 4773, 34992, 266823, 2079512, 16503238, 132852644, 1081509855, 8885472675, 73563855306, 612982476612 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Number of primes less than 10^n after removing any primes with at least one digit 7.
LINKS
FORMULA
a(n) = A006880(n) - A091708(n).
EXAMPLE
a(2) = 16 because of the 25 primes less than 10^2, 9 have at least one digit 7; 25-9=16.
MATHEMATICA
NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; c = 0; p = 1; Do[ While[ p = NextPrim[p]; p < 10^n, If[ Position[ IntegerDigits[p], 7] == {}, c++ ]]; Print[c]; p--, {n, 1, 8}] (* Robert G. Wilson v, Feb 02 2004 *)
PROG
(Python)
from sympy import primerange
def a(n): return sum('7' not in str(p) for p in primerange(2, 10**n))
print([a(n) for n in range(1, 7)]) # Michael S. Branicky, Mar 16 2021
CROSSREFS
Sequence in context: A246056 A361446 A360638 * A137572 A369620 A009151
KEYWORD
more,nonn,base
AUTHOR
Enoch Haga, Jan 30 2004
EXTENSIONS
Edited and extended by Robert G. Wilson v, Feb 02 2004
a(9)-a(12) from Donovan Johnson, Feb 14 2008
a(13) from Robert Price, Nov 08 2013
a(14) from Giovanni Resta, Mar 20 2017
STATUS
approved

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)