What is the 3231st prime number?
The 3231st prime number is 29833. The next prime is 29837 (a gap of 4) and the one before is 29819.
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 3231st one is 29833.
- 2
29833 is prime because no prime up to ā29833 ā 172.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3231st prime is close to 3231 Ć ln(3231) ā 26108, and here it is 29833.
- 4
29833 has no twin: neither 29831 nor 29835 is prime.
Primes around the 3231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
Questions
What is the 3231st prime number?
29833.
Which prime number is 29833?
29833 is the 3231st prime number.
What is the sum of the first 3231 primes?
45,257,170.