What is the 3189th prime number?
The 3189th prime number is 29347. The next prime is 29363 (a gap of 16) and the one before is 29339.
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 3189th one is 29347.
- 2
29347 is prime because no prime up to ā29347 ā 171.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3189th prime is close to 3189 Ć ln(3189) ā 25727, and here it is 29347.
- 4
29347 has no twin: neither 29345 nor 29349 is prime.
Primes around the 3189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3186 | 29327 | 16 |
| 3187 | 29333 | 6 |
| 3188 | 29339 | 6 |
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
| 3192 | 29387 | 4 |
Questions
What is the 3189th prime number?
29347.
Which prime number is 29347?
29347 is the 3189th prime number.
What is the sum of the first 3189 primes?
44,014,826.