What is the 3233rd prime number?
The 3233rd prime number is 29851. The next prime is 29863 (a gap of 12) and the one before is 29837.
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 3233rd one is 29851.
- 2
29851 is prime because no prime up to ā29851 ā 172.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3233rd prime is close to 3233 Ć ln(3233) ā 26126, and here it is 29851.
- 4
29851 has no twin: neither 29849 nor 29853 is prime.
Primes around the 3233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
Questions
What is the 3233rd prime number?
29851.
Which prime number is 29851?
29851 is the 3233rd prime number.
What is the sum of the first 3233 primes?
45,316,858.