What is the 3239th prime number?
The 3239th prime number is 29917. The next prime is 29921 (a gap of 4) and the one before is 29881.
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 3239th one is 29917.
- 2
29917 is prime because no prime up to ā29917 ā 172.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3239th prime is close to 3239 Ć ln(3239) ā 26181, and here it is 29917.
- 4
29917 has no twin: neither 29915 nor 29919 is prime.
Primes around the 3239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
Questions
What is the 3239th prime number?
29917.
Which prime number is 29917?
29917 is the 3239th prime number.
What is the sum of the first 3239 primes?
45,496,138.