What is the 3410th prime number?
The 3410th prime number is 31721. The next prime is 31723 (a gap of 2) and the one before is 31699.
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 3410th one is 31721.
- 2
31721 is prime because no prime up to ā31721 ā 178.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3410th prime is close to 3410 Ć ln(3410) ā 27739, and here it is 31721.
- 4
31721 is a twin prime: 31721 and 31723 are both prime.
Primes around the 3410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3407 | 31667 | 4 |
| 3408 | 31687 | 20 |
| 3409 | 31699 | 12 |
| 3410 | 31721 | 22 |
| 3411 | 31723 | 2 |
| 3412 | 31727 | 4 |
| 3413 | 31729 | 2 |
Questions
What is the 3410th prime number?
31721.
Which prime number is 31721?
31721 is the 3410th prime number.
What is the sum of the first 3410 primes?
50,766,991.