What is the 3398th prime number?
The 3398th prime number is 31573. The next prime is 31583 (a gap of 10) and the one before is 31567.
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 3398th one is 31573.
- 2
31573 is prime because no prime up to ā31573 ā 177.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3398th prime is close to 3398 Ć ln(3398) ā 27629, and here it is 31573.
- 4
31573 has no twin: neither 31571 nor 31575 is prime.
Primes around the 3398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
| 3398 | 31573 | 6 |
| 3399 | 31583 | 10 |
| 3400 | 31601 | 18 |
| 3401 | 31607 | 6 |
Questions
What is the 3398th prime number?
31573.
Which prime number is 31573?
31573 is the 3398th prime number.
What is the sum of the first 3398 primes?
50,387,187.