What is the 2193rd prime number?
The 2193rd prime number is 19379. The next prime is 19381 (a gap of 2) and the one before is 19373.
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 2193rd one is 19379.
- 2
19379 is prime because no prime up to ā19379 ā 139.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2193rd prime is close to 2193 Ć ln(2193) ā 16871, and here it is 19379.
- 4
19379 is a twin prime: 19379 and 19381 are both prime.
Primes around the 2193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
| 2192 | 19373 | 40 |
| 2193 | 19379 | 6 |
| 2194 | 19381 | 2 |
| 2195 | 19387 | 6 |
| 2196 | 19391 | 4 |
Questions
What is the 2193rd prime number?
19379.
Which prime number is 19379?
19379 is the 2193rd prime number.
What is the sum of the first 2193 primes?
19,813,714.