What is the 3330th prime number?
The 3330th prime number is 30871. The next prime is 30881 (a gap of 10) and the one before is 30869.
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 3330th one is 30871.
- 2
30871 is prime because no prime up to ā30871 ā 175.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3330th prime is close to 3330 Ć ln(3330) ā 27009, and here it is 30871.
- 4
30871 is a twin prime: 30869 and 30871 are both prime.
Primes around the 3330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
Questions
What is the 3330th prime number?
30871.
Which prime number is 30871?
30871 is the 3330th prime number.
What is the sum of the first 3330 primes?
48,263,619.