Counting the prime numbers from 1 up to 100

Name: Counting the prime numbers from 1 up to 100
Creator: Unlabeled
License: Original computation by Unlabeled; nothing copied from the source

There are 25 primes up to 100, and 4 of them come in the first ten numbers. The longest wait is near the end: after 89 the next prime is 97.

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y ↑: Primes so far (count)
x →: Counting up to (number)

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The data: 27 points

Counting up to (number)	Primes so far (count)
1	0
2	1
3	2
5	3
7	4
11	5
13	6
17	7
19	8
23	9
29	10
31	11
37	12
41	13
43	14
47	15
53	16
59	17
61	18
67	19
71	20
73	21
79	22
83	23
89	24
97	25
100	25

Source: Computed: the primes counted up to each whole number (the prime-counting function, OEIS A000720)
Licence: Original computation by Unlabeled; nothing copied from the source
Read: 2026-09-29
Drawn: 27 points as the puzzle showed them · step line

Ran in puzzle #23 on October 19, 2026. Play it

Counting up to (number)	Primes so far (count)
1	0
2	1
3	2
5	3
7	4
11	5
13	6
17	7
19	8
23	9
29	10
31	11
37	12
41	13
43	14
47	15
53	16
59	17
61	18
67	19
71	20
73	21
79	22
83	23
89	24
97	25
100	25

Counting up to (number)	Primes so far (count)
1	0
2	1
3	2
5	3
7	4
11	5
13	6
17	7
19	8
23	9
29	10
31	11
37	12
41	13
43	14
47	15
53	16
59	17
61	18
67	19
71	20
73	21
79	22
83	23
89	24
97	25
100	25

Counting the prime numbers from 1 up to 100

More like this

Counting up to (number)	Primes so far (count)
1	0
2	1
3	2
5	3
7	4
11	5
13	6
17	7
19	8
23	9
29	10
31	11
37	12
41	13
43	14
47	15
53	16
59	17
61	18
67	19
71	20
73	21
79	22
83	23
89	24
97	25
100	25