What is the 3399th prime number?
The 3399th prime number is 31583. The next prime is 31601 (a gap of 18) and the one before is 31573.
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 3399th one is 31583.
- 2
31583 is prime because no prime up to ā31583 ā 177.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3399th prime is close to 3399 Ć ln(3399) ā 27638, and here it is 31583.
- 4
31583 has no twin: neither 31581 nor 31585 is prime.
Primes around the 3399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
| 3398 | 31573 | 6 |
| 3399 | 31583 | 10 |
| 3400 | 31601 | 18 |
| 3401 | 31607 | 6 |
| 3402 | 31627 | 20 |
Questions
What is the 3399th prime number?
31583.
Which prime number is 31583?
31583 is the 3399th prime number.
What is the sum of the first 3399 primes?
50,418,770.