What is the 3412th prime number?
The 3412th prime number is 31727. The next prime is 31729 (a gap of 2) and the one before is 31723.
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 3412th one is 31727.
- 2
31727 is prime because no prime up to ā31727 ā 178.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3412th prime is close to 3412 Ć ln(3412) ā 27757, and here it is 31727.
- 4
31727 is a twin prime: 31727 and 31729 are both prime.
Primes around the 3412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3409 | 31699 | 12 |
| 3410 | 31721 | 22 |
| 3411 | 31723 | 2 |
| 3412 | 31727 | 4 |
| 3413 | 31729 | 2 |
| 3414 | 31741 | 12 |
| 3415 | 31751 | 10 |
Questions
What is the 3412th prime number?
31727.
Which prime number is 31727?
31727 is the 3412th prime number.
What is the sum of the first 3412 primes?
50,830,441.