What is the 1708th prime number?
The 1708th prime number is 14563. The next prime is 14591 (a gap of 28) and the one before is 14561.
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 1708th one is 14563.
- 2
14563 is prime because no prime up to ā14563 ā 120.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1708th prime is close to 1708 Ć ln(1708) ā 12713, and here it is 14563.
- 4
14563 is a twin prime: 14561 and 14563 are both prime.
Primes around the 1708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1705 | 14551 | 2 |
| 1706 | 14557 | 6 |
| 1707 | 14561 | 4 |
| 1708 | 14563 | 2 |
| 1709 | 14591 | 28 |
| 1710 | 14593 | 2 |
| 1711 | 14621 | 28 |
Questions
What is the 1708th prime number?
14563.
Which prime number is 14563?
14563 is the 1708th prime number.
What is the sum of the first 1708 primes?
11,615,883.