What is the 3234th prime number?
The 3234th prime number is 29863. The next prime is 29867 (a gap of 4) and the one before is 29851.
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 3234th one is 29863.
- 2
29863 is prime because no prime up to ā29863 ā 172.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3234th prime is close to 3234 Ć ln(3234) ā 26135, and here it is 29863.
- 4
29863 has no twin: neither 29861 nor 29865 is prime.
Primes around the 3234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
Questions
What is the 3234th prime number?
29863.
Which prime number is 29863?
29863 is the 3234th prime number.
What is the sum of the first 3234 primes?
45,346,721.