What is the 3252nd prime number?
The 3252nd prime number is 30089. The next prime is 30091 (a gap of 2) and the one before is 30071.
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 3252nd one is 30089.
- 2
30089 is prime because no prime up to ā30089 ā 173.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3252nd prime is close to 3252 Ć ln(3252) ā 26299, and here it is 30089.
- 4
30089 is a twin prime: 30089 and 30091 are both prime.
Primes around the 3252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
Questions
What is the 3252nd prime number?
30089.
Which prime number is 30089?
30089 is the 3252nd prime number.
What is the sum of the first 3252 primes?
45,886,183.