What is the 3322nd prime number?
The 3322nd prime number is 30817. The next prime is 30829 (a gap of 12) and the one before is 30809.
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 3322nd one is 30817.
- 2
30817 is prime because no prime up to ā30817 ā 175.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3322nd prime is close to 3322 Ć ln(3322) ā 26936, and here it is 30817.
- 4
30817 has no twin: neither 30815 nor 30819 is prime.
Primes around the 3322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
Questions
What is the 3322nd prime number?
30817.
Which prime number is 30817?
30817 is the 3322nd prime number.
What is the sum of the first 3322 primes?
48,016,807.