What is the 3193rd prime number?
The 3193rd prime number is 29389. The next prime is 29399 (a gap of 10) and the one before is 29387.
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 3193rd one is 29389.
- 2
29389 is prime because no prime up to ā29389 ā 171.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3193rd prime is close to 3193 Ć ln(3193) ā 25763, and here it is 29389.
- 4
29389 is a twin prime: 29387 and 29389 are both prime.
Primes around the 3193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
| 3192 | 29387 | 4 |
| 3193 | 29389 | 2 |
| 3194 | 29399 | 10 |
| 3195 | 29401 | 2 |
| 3196 | 29411 | 10 |
Questions
What is the 3193rd prime number?
29389.
Which prime number is 29389?
29389 is the 3193rd prime number.
What is the sum of the first 3193 primes?
44,132,348.