What is the 3319th prime number?
The 3319th prime number is 30781. The next prime is 30803 (a gap of 22) and the one before is 30773.
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 3319th one is 30781.
- 2
30781 is prime because no prime up to ā30781 ā 175.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3319th prime is close to 3319 Ć ln(3319) ā 26909, and here it is 30781.
- 4
30781 has no twin: neither 30779 nor 30783 is prime.
Primes around the 3319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
Questions
What is the 3319th prime number?
30781.
Which prime number is 30781?
30781 is the 3319th prime number.
What is the sum of the first 3319 primes?
47,924,378.