What is the 3321st prime number?
The 3321st prime number is 30809. The next prime is 30817 (a gap of 8) and the one before is 30803.
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 3321st one is 30809.
- 2
30809 is prime because no prime up to ā30809 ā 175.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3321st prime is close to 3321 Ć ln(3321) ā 26927, and here it is 30809.
- 4
30809 has no twin: neither 30807 nor 30811 is prime.
Primes around the 3321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
Questions
What is the 3321st prime number?
30809.
Which prime number is 30809?
30809 is the 3321st prime number.
What is the sum of the first 3321 primes?
47,985,990.