Prime Numbers Table

Q: What is the largest gap below 1,000?

20. Gaps grow on average because the mean distance between primes near x is roughly ln(x).

Every prime number up to 1,000 — 168 of them — grouped by hundred, with prime gaps, twin primes and the density of primes in each block.

Primes below 1,000

168

Density

16.8 %

In twin pairs

Largest gap

There are exactly 168 prime numbers below 1,000 — the smallest is 2, the largest is 997.

Verified August 6, 2026

Prime Numbers Table — in full

168 of 168 rows

All 168 primes below 1,000, grouped by hundred. Highlighted rows belong to a twin-prime pair.
#	Prime	Gap to previous	Twin prime	Group
1	2	—	—	1–100
2	3	1	yes	1–100
3	5	2	yes	1–100
4	7	2	yes	1–100
5	11	4	yes	1–100
6	13	2	yes	1–100
7	17	4	yes	1–100
8	19	2	yes	1–100
9	23	4	—	1–100
10	29	6	yes	1–100
11	31	2	yes	1–100
12	37	6	—	1–100
13	41	4	yes	1–100
14	43	2	yes	1–100
15	47	4	—	1–100
16	53	6	—	1–100
17	59	6	yes	1–100
18	61	2	yes	1–100
19	67	6	—	1–100
20	71	4	yes	1–100
21	73	2	yes	1–100
22	79	6	—	1–100
23	83	4	—	1–100
24	89	6	—	1–100
25	97	8	—	1–100
26	101	4	yes	101–200
27	103	2	yes	101–200
28	107	4	yes	101–200
29	109	2	yes	101–200
30	113	4	—	101–200
31	127	14	—	101–200
32	131	4	—	101–200
33	137	6	yes	101–200
34	139	2	yes	101–200
35	149	10	yes	101–200
36	151	2	yes	101–200
37	157	6	—	101–200
38	163	6	—	101–200
39	167	4	—	101–200
40	173	6	—	101–200
41	179	6	yes	101–200
42	181	2	yes	101–200
43	191	10	yes	101–200
44	193	2	yes	101–200
45	197	4	yes	101–200
46	199	2	yes	101–200
47	211	12	—	201–300
48	223	12	—	201–300
49	227	4	yes	201–300
50	229	2	yes	201–300
51	233	4	—	201–300
52	239	6	yes	201–300
53	241	2	yes	201–300
54	251	10	—	201–300
55	257	6	—	201–300
56	263	6	—	201–300
57	269	6	yes	201–300
58	271	2	yes	201–300
59	277	6	—	201–300
60	281	4	yes	201–300
61	283	2	yes	201–300
62	293	10	—	201–300
63	307	14	—	301–400
64	311	4	yes	301–400
65	313	2	yes	301–400
66	317	4	—	301–400
67	331	14	—	301–400
68	337	6	—	301–400
69	347	10	yes	301–400
70	349	2	yes	301–400
71	353	4	—	301–400
72	359	6	—	301–400
73	367	8	—	301–400
74	373	6	—	301–400
75	379	6	—	301–400
76	383	4	—	301–400
77	389	6	—	301–400
78	397	8	—	301–400
79	401	4	—	401–500
80	409	8	—	401–500
81	419	10	yes	401–500
82	421	2	yes	401–500
83	431	10	yes	401–500
84	433	2	yes	401–500
85	439	6	—	401–500
86	443	4	—	401–500
87	449	6	—	401–500
88	457	8	—	401–500
89	461	4	yes	401–500
90	463	2	yes	401–500
91	467	4	—	401–500
92	479	12	—	401–500
93	487	8	—	401–500
94	491	4	—	401–500
95	499	8	—	401–500
96	503	4	—	501–600
97	509	6	—	501–600
98	521	12	yes	501–600
99	523	2	yes	501–600
100	541	18	—	501–600
101	547	6	—	501–600
102	557	10	—	501–600
103	563	6	—	501–600
104	569	6	yes	501–600
105	571	2	yes	501–600
106	577	6	—	501–600
107	587	10	—	501–600
108	593	6	—	501–600
109	599	6	yes	501–600
110	601	2	yes	601–700
111	607	6	—	601–700
112	613	6	—	601–700
113	617	4	yes	601–700
114	619	2	yes	601–700
115	631	12	—	601–700
116	641	10	yes	601–700
117	643	2	yes	601–700
118	647	4	—	601–700
119	653	6	—	601–700
120	659	6	yes	601–700
121	661	2	yes	601–700
122	673	12	—	601–700
123	677	4	—	601–700
124	683	6	—	601–700
125	691	8	—	601–700
126	701	10	—	701–800
127	709	8	—	701–800
128	719	10	—	701–800
129	727	8	—	701–800
130	733	6	—	701–800
131	739	6	—	701–800
132	743	4	—	701–800
133	751	8	—	701–800
134	757	6	—	701–800
135	761	4	—	701–800
136	769	8	—	701–800
137	773	4	—	701–800
138	787	14	—	701–800
139	797	10	—	701–800
140	809	12	yes	801–900
141	811	2	yes	801–900
142	821	10	yes	801–900
143	823	2	yes	801–900
144	827	4	yes	801–900
145	829	2	yes	801–900
146	839	10	—	801–900
147	853	14	—	801–900
148	857	4	yes	801–900
149	859	2	yes	801–900
150	863	4	—	801–900
151	877	14	—	801–900
152	881	4	yes	801–900
153	883	2	yes	801–900
154	887	4	—	801–900
155	907	20	—	901–1,000
156	911	4	—	901–1,000
157	919	8	—	901–1,000
158	929	10	—	901–1,000
159	937	8	—	901–1,000
160	941	4	—	901–1,000
161	947	6	—	901–1,000
162	953	6	—	901–1,000
163	967	14	—	901–1,000
164	971	4	—	901–1,000
165	977	6	—	901–1,000
166	983	6	—	901–1,000
167	991	8	—	901–1,000
168	997	6	—	901–1,000

How to read this table

The “#” column is the prime's index: 2 is the first, 3 the second, 997 the 168th — handy for looking up which prime a number is.

“Gap to previous” shows how far back the previous prime sits. A 2 there means both belong to a twin-prime pair.

Grouping by hundred makes the thinning visible: the first hundred holds 25 primes, the last only 14.

Primes per hundred

Hover the chart to read the precise values.

The first hundred holds 25 primes, the last only 14 — primes thin out, but they never stop.

The counting function π(x)

Hover the chart to read the precise values.

π(x) counts how many primes there are up to x. The curve flattens because the average gap between primes grows like ln(x).

Frequency of the gaps

Hover the chart to read the precise values.

A gap of 2 (twin primes) and a gap of 6 are by far the most common. A gap of 1 occurs exactly once: between 2 and 3.

How this table is built

Computed, not transcribed

The list is produced by a sieve of Eratosthenes over the range at render time, so it is complete by construction — no number can be missing or wrongly included.

Sources & verification

OEIS A000040 — The prime numbers

Last checked against the sources on August 6, 2026.

Matching calculators

Prime Factorization Calculator

Run the numbers yourself

Frequently asked questions

How many primes are there below 1,000?

Exactly 168, which is 16.8 % of all numbers in that range.

Is 1 a prime number?

No. A prime has exactly two distinct divisors: 1 and itself. The number 1 has only one divisor and is therefore excluded by definition — otherwise prime factorisation would no longer be unique.

Why is 2 the only even prime?

Every other even number is divisible by 2 and therefore has at least three divisors. The number 2 itself has only 1 and 2 as divisors, so it stays prime.

What are twin primes?

Two primes that differ by 2, such as 11 and 13 or 41 and 43. Below 1,000, 69 primes belong to such a pair. Whether there are infinitely many is still an open problem.

What is the largest gap below 1,000?

Gaps grow on average because the mean distance between primes near x is roughly ln(x).

Do primes ever stop?

No. Euclid proved more than 2,000 years ago that there are infinitely many primes. They only become rarer.

Browse every reference table

From the ASCII table to SI prefixes and the physical constants — every lookup table in one place.

Open the Prime Factorization Calculator

Was this helpful?

Prime Numbers Table

Every prime number up to 1,000 — 168 of them — grouped by hundred, with prime gaps, twin primes and the density of primes in each block.

Primes below 1,000

168

Density

16.8 %

In twin pairs

Largest gap

There are exactly 168 prime numbers below 1,000 — the smallest is 2, the largest is 997.

Verified August 6, 2026

Prime Numbers Table — in full

168 of 168 rows

All 168 primes below 1,000, grouped by hundred. Highlighted rows belong to a twin-prime pair.
#	Prime	Gap to previous	Twin prime	Group
1	2	—	—	1–100
2	3	1	yes	1–100
3	5	2	yes	1–100
4	7	2	yes	1–100
5	11	4	yes	1–100
6	13	2	yes	1–100
7	17	4	yes	1–100
8	19	2	yes	1–100
9	23	4	—	1–100
10	29	6	yes	1–100
11	31	2	yes	1–100
12	37	6	—	1–100
13	41	4	yes	1–100
14	43	2	yes	1–100
15	47	4	—	1–100
16	53	6	—	1–100
17	59	6	yes	1–100
18	61	2	yes	1–100
19	67	6	—	1–100
20	71	4	yes	1–100
21	73	2	yes	1–100
22	79	6	—	1–100
23	83	4	—	1–100
24	89	6	—	1–100
25	97	8	—	1–100
26	101	4	yes	101–200
27	103	2	yes	101–200
28	107	4	yes	101–200
29	109	2	yes	101–200
30	113	4	—	101–200
31	127	14	—	101–200
32	131	4	—	101–200
33	137	6	yes	101–200
34	139	2	yes	101–200
35	149	10	yes	101–200
36	151	2	yes	101–200
37	157	6	—	101–200
38	163	6	—	101–200
39	167	4	—	101–200
40	173	6	—	101–200
41	179	6	yes	101–200
42	181	2	yes	101–200
43	191	10	yes	101–200
44	193	2	yes	101–200
45	197	4	yes	101–200
46	199	2	yes	101–200
47	211	12	—	201–300
48	223	12	—	201–300
49	227	4	yes	201–300
50	229	2	yes	201–300
51	233	4	—	201–300
52	239	6	yes	201–300
53	241	2	yes	201–300
54	251	10	—	201–300
55	257	6	—	201–300
56	263	6	—	201–300
57	269	6	yes	201–300
58	271	2	yes	201–300
59	277	6	—	201–300
60	281	4	yes	201–300
61	283	2	yes	201–300
62	293	10	—	201–300
63	307	14	—	301–400
64	311	4	yes	301–400
65	313	2	yes	301–400
66	317	4	—	301–400
67	331	14	—	301–400
68	337	6	—	301–400
69	347	10	yes	301–400
70	349	2	yes	301–400
71	353	4	—	301–400
72	359	6	—	301–400
73	367	8	—	301–400
74	373	6	—	301–400
75	379	6	—	301–400
76	383	4	—	301–400
77	389	6	—	301–400
78	397	8	—	301–400
79	401	4	—	401–500
80	409	8	—	401–500
81	419	10	yes	401–500
82	421	2	yes	401–500
83	431	10	yes	401–500
84	433	2	yes	401–500
85	439	6	—	401–500
86	443	4	—	401–500
87	449	6	—	401–500
88	457	8	—	401–500
89	461	4	yes	401–500
90	463	2	yes	401–500
91	467	4	—	401–500
92	479	12	—	401–500
93	487	8	—	401–500
94	491	4	—	401–500
95	499	8	—	401–500
96	503	4	—	501–600
97	509	6	—	501–600
98	521	12	yes	501–600
99	523	2	yes	501–600
100	541	18	—	501–600
101	547	6	—	501–600
102	557	10	—	501–600
103	563	6	—	501–600
104	569	6	yes	501–600
105	571	2	yes	501–600
106	577	6	—	501–600
107	587	10	—	501–600
108	593	6	—	501–600
109	599	6	yes	501–600
110	601	2	yes	601–700
111	607	6	—	601–700
112	613	6	—	601–700
113	617	4	yes	601–700
114	619	2	yes	601–700
115	631	12	—	601–700
116	641	10	yes	601–700
117	643	2	yes	601–700
118	647	4	—	601–700
119	653	6	—	601–700
120	659	6	yes	601–700
121	661	2	yes	601–700
122	673	12	—	601–700
123	677	4	—	601–700
124	683	6	—	601–700
125	691	8	—	601–700
126	701	10	—	701–800
127	709	8	—	701–800
128	719	10	—	701–800
129	727	8	—	701–800
130	733	6	—	701–800
131	739	6	—	701–800
132	743	4	—	701–800
133	751	8	—	701–800
134	757	6	—	701–800
135	761	4	—	701–800
136	769	8	—	701–800
137	773	4	—	701–800
138	787	14	—	701–800
139	797	10	—	701–800
140	809	12	yes	801–900
141	811	2	yes	801–900
142	821	10	yes	801–900
143	823	2	yes	801–900
144	827	4	yes	801–900
145	829	2	yes	801–900
146	839	10	—	801–900
147	853	14	—	801–900
148	857	4	yes	801–900
149	859	2	yes	801–900
150	863	4	—	801–900
151	877	14	—	801–900
152	881	4	yes	801–900
153	883	2	yes	801–900
154	887	4	—	801–900
155	907	20	—	901–1,000
156	911	4	—	901–1,000
157	919	8	—	901–1,000
158	929	10	—	901–1,000
159	937	8	—	901–1,000
160	941	4	—	901–1,000
161	947	6	—	901–1,000
162	953	6	—	901–1,000
163	967	14	—	901–1,000
164	971	4	—	901–1,000
165	977	6	—	901–1,000
166	983	6	—	901–1,000
167	991	8	—	901–1,000
168	997	6	—	901–1,000

How to read this table

The “#” column is the prime's index: 2 is the first, 3 the second, 997 the 168th — handy for looking up which prime a number is.

“Gap to previous” shows how far back the previous prime sits. A 2 there means both belong to a twin-prime pair.

Grouping by hundred makes the thinning visible: the first hundred holds 25 primes, the last only 14.

Frequently asked questions

How many primes are there below 1,000?

Exactly 168, which is 16.8 % of all numbers in that range.

Is 1 a prime number?

No. A prime has exactly two distinct divisors: 1 and itself. The number 1 has only one divisor and is therefore excluded by definition — otherwise prime factorisation would no longer be unique.

Why is 2 the only even prime?

Every other even number is divisible by 2 and therefore has at least three divisors. The number 2 itself has only 1 and 2 as divisors, so it stays prime.

What are twin primes?

Two primes that differ by 2, such as 11 and 13 or 41 and 43. Below 1,000, 69 primes belong to such a pair. Whether there are infinitely many is still an open problem.

What is the largest gap below 1,000?

Gaps grow on average because the mean distance between primes near x is roughly ln(x).

Do primes ever stop?

No. Euclid proved more than 2,000 years ago that there are infinitely many primes. They only become rarer.

Prime Numbers Table

Prime Numbers Table — in full

How to read this table

Primes per hundred

The counting function π(x)

Frequency of the gaps

How this table is built

Sources & verification

Matching calculators

Prime Factorization Calculator

More reference tables

Multiplication Table

Squares, Cubes and Roots Table

Trigonometry Table

Mathematical Constants

ASCII Table

Powers of 2 Table

Frequently asked questions

Browse every reference table

Prime Numbers Table

Prime Numbers Table — in full

How to read this table

Primes per hundred

The counting function π(x)

Frequency of the gaps

How this table is built

Sources & verification

Matching calculators

Prime Factorization Calculator

More reference tables

Multiplication Table

Squares, Cubes and Roots Table

Trigonometry Table

Mathematical Constants

ASCII Table

Powers of 2 Table

Frequently asked questions

Browse every reference table