What is the 1709th prime number?
The 1709th prime number is 14591. The next prime is 14593 (a gap of 2) and the one before is 14563.
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 1709th one is 14591.
- 2
14591 is prime because no prime up to ā14591 ā 120.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1709th prime is close to 1709 Ć ln(1709) ā 12721, and here it is 14591.
- 4
14591 is a twin prime: 14591 and 14593 are both prime.
Primes around the 1709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1706 | 14557 | 6 |
| 1707 | 14561 | 4 |
| 1708 | 14563 | 2 |
| 1709 | 14591 | 28 |
| 1710 | 14593 | 2 |
| 1711 | 14621 | 28 |
| 1712 | 14627 | 6 |
Questions
What is the 1709th prime number?
14591.
Which prime number is 14591?
14591 is the 1709th prime number.
What is the sum of the first 1709 primes?
11,630,474.