What is the 3396th prime number?
The 3396th prime number is 31547. The next prime is 31567 (a gap of 20) and the one before is 31543.
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 3396th one is 31547.
- 2
31547 is prime because no prime up to ā31547 ā 177.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3396th prime is close to 3396 Ć ln(3396) ā 27611, and here it is 31547.
- 4
31547 has no twin: neither 31545 nor 31549 is prime.
Primes around the 3396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
| 3398 | 31573 | 6 |
| 3399 | 31583 | 10 |
Questions
What is the 3396th prime number?
31547.
Which prime number is 31547?
31547 is the 3396th prime number.
What is the sum of the first 3396 primes?
50,324,047.