What is the 3230th prime number?
The 3230th prime number is 29819. The next prime is 29833 (a gap of 14) and the one before is 29803.
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 3230th one is 29819.
- 2
29819 is prime because no prime up to ā29819 ā 172.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3230th prime is close to 3230 Ć ln(3230) ā 26099, and here it is 29819.
- 4
29819 has no twin: neither 29817 nor 29821 is prime.
Primes around the 3230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
Questions
What is the 3230th prime number?
29819.
Which prime number is 29819?
29819 is the 3230th prime number.
What is the sum of the first 3230 primes?
45,227,337.