Fungrim entry: 5404ce

Table of

\pi\!\left({10}^{n}\right)

for

0 \le n \le 27

$n$	$\pi\!\left({10}^{n}\right)$
0	0
1	4
2	25
3	168
4	1229
5	9592
6	78498
7	664579
8	5761455
9	50847534
10	455052511
11	4118054813
12	37607912018
13	346065536839

$n$	$\pi\!\left({10}^{n}\right)$
14	3204941750802
15	29844570422669
16	279238341033925
17	2623557157654233
18	24739954287740860
19	234057667276344607
20	2220819602560918840
21	21127269486018731928
22	201467286689315906290
23	1925320391606803968923
24	18435599767349200867866
25	176846309399143769411680
26	1699246750872437141327603
27	16352460426841680446427399

Definitions:

Fungrim symbol	Notation	Short description
`PrimePi`	$\pi(x)$	Prime counting function
`Pow`	${a}^{b}$	Power

Source code for this entry:

Entry(ID("5404ce"),
    Description("Table of", PrimePi(Pow(10, n)), "for", LessEqual(0, n, 27)),
    Table(Var(n), TableValueHeadings(n, PrimePi(Pow(10, n))), TableSplit(2), List(Tuple(0, 0), Tuple(1, 4), Tuple(2, 25), Tuple(3, 168), Tuple(4, 1229), Tuple(5, 9592), Tuple(6, 78498), Tuple(7, 664579), Tuple(8, 5761455), Tuple(9, 50847534), Tuple(10, 455052511), Tuple(11, 4118054813), Tuple(12, 37607912018), Tuple(13, 346065536839), Tuple(14, 3204941750802), Tuple(15, 29844570422669), Tuple(16, 279238341033925), Tuple(17, 2623557157654233), Tuple(18, 24739954287740860), Tuple(19, 234057667276344607), Tuple(20, 2220819602560918840), Tuple(21, 21127269486018731928), Tuple(22, 201467286689315906290), Tuple(23, 1925320391606803968923), Tuple(24, 18435599767349200867866), Tuple(25, 176846309399143769411680), Tuple(26, 1699246750872437141327603), Tuple(27, 16352460426841680446427399))))

Topics using this entry

Prime numbers