What is the 3397th prime number?
The 3397th prime number is 31567. The next prime is 31573 (a gap of 6) and the one before is 31547.
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 3397th one is 31567.
- 2
31567 is prime because no prime up to ā31567 ā 177.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3397th prime is close to 3397 Ć ln(3397) ā 27620, and here it is 31567.
- 4
31567 has no twin: neither 31565 nor 31569 is prime.
Primes around the 3397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
| 3398 | 31573 | 6 |
| 3399 | 31583 | 10 |
| 3400 | 31601 | 18 |
Questions
What is the 3397th prime number?
31567.
Which prime number is 31567?
31567 is the 3397th prime number.
What is the sum of the first 3397 primes?
50,355,614.