What is the 3408th prime number?
The 3408th prime number is 31687. The next prime is 31699 (a gap of 12) and the one before is 31667.
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 3408th one is 31687.
- 2
31687 is prime because no prime up to ā31687 ā 178.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3408th prime is close to 3408 Ć ln(3408) ā 27720, and here it is 31687.
- 4
31687 has no twin: neither 31685 nor 31689 is prime.
Primes around the 3408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3405 | 31657 | 8 |
| 3406 | 31663 | 6 |
| 3407 | 31667 | 4 |
| 3408 | 31687 | 20 |
| 3409 | 31699 | 12 |
| 3410 | 31721 | 22 |
| 3411 | 31723 | 2 |
Questions
What is the 3408th prime number?
31687.
Which prime number is 31687?
31687 is the 3408th prime number.
What is the sum of the first 3408 primes?
50,703,571.