What is the 3190th prime number?
The 3190th prime number is 29363. The next prime is 29383 (a gap of 20) and the one before is 29347.
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 3190th one is 29363.
- 2
29363 is prime because no prime up to ā29363 ā 171.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3190th prime is close to 3190 Ć ln(3190) ā 25736, and here it is 29363.
- 4
29363 has no twin: neither 29361 nor 29365 is prime.
Primes around the 3190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3187 | 29333 | 6 |
| 3188 | 29339 | 6 |
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
| 3192 | 29387 | 4 |
| 3193 | 29389 | 2 |
Questions
What is the 3190th prime number?
29363.
Which prime number is 29363?
29363 is the 3190th prime number.
What is the sum of the first 3190 primes?
44,044,189.