What is the 192nd prime number?
The 192nd prime number is 1163. The next prime is 1171 (a gap of 8) and the one before is 1153.
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 192nd one is 1163.
- 2
1163 is prime because no prime up to ā1163 ā 34.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 192nd prime is close to 192 Ć ln(192) ā 1009, and here it is 1163.
- 4
1163 has no twin: neither 1161 nor 1165 is prime.
Primes around the 192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
Questions
What is the 192nd prime number?
1163.
Which prime number is 1163?
1163 is the 192nd prime number.
What is the sum of the first 192 primes?
102,001.