What is the 1710th prime number?
The 1710th prime number is 14593. The next prime is 14621 (a gap of 28) and the one before is 14591.
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 1710th one is 14593.
- 2
14593 is prime because no prime up to ā14593 ā 120.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1710th prime is close to 1710 Ć ln(1710) ā 12730, and here it is 14593.
- 4
14593 is a twin prime: 14591 and 14593 are both prime.
Primes around the 1710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1707 | 14561 | 4 |
| 1708 | 14563 | 2 |
| 1709 | 14591 | 28 |
| 1710 | 14593 | 2 |
| 1711 | 14621 | 28 |
| 1712 | 14627 | 6 |
| 1713 | 14629 | 2 |
Questions
What is the 1710th prime number?
14593.
Which prime number is 14593?
14593 is the 1710th prime number.
What is the sum of the first 1710 primes?
11,645,067.