What is the 191st prime number?
The 191st prime number is 1153. The next prime is 1163 (a gap of 10) and the one before is 1151.
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 191st one is 1153.
- 2
1153 is prime because no prime up to ā1153 ā 33.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 191st prime is close to 191 Ć ln(191) ā 1003, and here it is 1153.
- 4
1153 is a twin prime: 1151 and 1153 are both prime.
Primes around the 191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
Questions
What is the 191st prime number?
1153.
Which prime number is 1153?
1153 is the 191st prime number.
What is the sum of the first 191 primes?
100,838.