What is the 3232nd prime number?
The 3232nd prime number is 29837. The next prime is 29851 (a gap of 14) and the one before is 29833.
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 3232nd one is 29837.
- 2
29837 is prime because no prime up to ā29837 ā 172.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3232nd prime is close to 3232 Ć ln(3232) ā 26117, and here it is 29837.
- 4
29837 has no twin: neither 29835 nor 29839 is prime.
Primes around the 3232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
Questions
What is the 3232nd prime number?
29837.
Which prime number is 29837?
29837 is the 3232nd prime number.
What is the sum of the first 3232 primes?
45,287,007.