What is the 3303rd prime number?
The 3303rd prime number is 30631. The next prime is 30637 (a gap of 6) and the one before is 30593.
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 3303rd one is 30631.
- 2
30631 is prime because no prime up to ā30631 ā 175.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3303rd prime is close to 3303 Ć ln(3303) ā 26763, and here it is 30631.
- 4
30631 has no twin: neither 30629 nor 30633 is prime.
Primes around the 3303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3300 | 30559 | 2 |
| 3301 | 30577 | 18 |
| 3302 | 30593 | 16 |
| 3303 | 30631 | 38 |
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
Questions
What is the 3303rd prime number?
30631.
Which prime number is 30631?
30631 is the 3303rd prime number.
What is the sum of the first 3303 primes?
47,433,130.