What is the 3411th prime number?
The 3411th prime number is 31723. The next prime is 31727 (a gap of 4) and the one before is 31721.
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 3411th one is 31723.
- 2
31723 is prime because no prime up to ā31723 ā 178.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3411th prime is close to 3411 Ć ln(3411) ā 27748, and here it is 31723.
- 4
31723 is a twin prime: 31721 and 31723 are both prime.
Primes around the 3411th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3408 | 31687 | 20 |
| 3409 | 31699 | 12 |
| 3410 | 31721 | 22 |
| 3411 | 31723 | 2 |
| 3412 | 31727 | 4 |
| 3413 | 31729 | 2 |
| 3414 | 31741 | 12 |
Questions
What is the 3411th prime number?
31723.
Which prime number is 31723?
31723 is the 3411th prime number.
What is the sum of the first 3411 primes?
50,798,714.