What is the 193rd prime number?
The 193rd prime number is 1171. The next prime is 1181 (a gap of 10) and the one before is 1163.
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 193rd one is 1171.
- 2
1171 is prime because no prime up to ā1171 ā 34.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 193rd prime is close to 193 Ć ln(193) ā 1016, and here it is 1171.
- 4
1171 has no twin: neither 1169 nor 1173 is prime.
Primes around the 193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
| 196 | 1193 | 6 |
Questions
What is the 193rd prime number?
1171.
Which prime number is 1171?
1171 is the 193rd prime number.
What is the sum of the first 193 primes?
103,172.