What is the 190th prime number?
The 190th prime number is 1151. The next prime is 1153 (a gap of 2) and the one before is 1129.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 190th one is 1151.
- 2
1151 is prime because no prime up to ā1151 ā 33.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 190th prime is close to 190 Ć ln(190) ā 997, and here it is 1151.
- 4
1151 is a twin prime: 1151 and 1153 are both prime.
Primes around the 190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
Questions
What is the 190th prime number?
1151.
Which prime number is 1151?
1151 is the 190th prime number.
What is the sum of the first 190 primes?
99,685.