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URL: https://oeis.org/A119290

⇱ A119290 - OEIS

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A119290
a(n) is the total number of digits in the first 10^n primes.
22
1, 16, 271, 3803, 48982, 610484, 7245905, 83484450, 942636916, 10487584405, 115369529592, 1257761617574, 13611696080735, 146406754329933, 1566562183907264, 16687323842873339, 177063766685219106, 1872323812397478246, 19738266145121133639, 207517446542560214799, 2176390177056541482871, 22774922890367225576581
OFFSET
0,2
LINKS
FORMULA
Count the digits in the first 10^n primes.
a(n) = sum while positive from k=0 to (10^n - A006880(k)). - Charles R Greathouse IV, Jul 09 2007
EXAMPLE
At a(1) there are 10^1 primes, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and the total number of digits is 16.
MATHEMATICA
Accumulate@Table[c = 0; i0 = If[n == 0, 1, 10^(n - 1) + 1]; For[i = i0, i <= 10^n, i++, c += IntegerLength[Prime[i]]]; c, {n, 0, 6}] (* Robert Price, Jun 09 2019 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Enoch Haga, May 13 2006
EXTENSIONS
Corrected and extended by Charles R Greathouse IV, Jul 09 2007
STATUS
approved