What is the 1700th prime number?
The 1700th prime number is 14519. The next prime is 14533 (a gap of 14) and the one before is 14503.
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 1700th one is 14519.
- 2
14519 is prime because no prime up to ā14519 ā 120.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1700th prime is close to 1700 Ć ln(1700) ā 12645, and here it is 14519.
- 4
14519 has no twin: neither 14517 nor 14521 is prime.
Primes around the 1700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1697 | 14479 | 18 |
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
| 1701 | 14533 | 14 |
| 1702 | 14537 | 4 |
| 1703 | 14543 | 6 |
Questions
What is the 1700th prime number?
14519.
Which prime number is 14519?
14519 is the 1700th prime number.
What is the sum of the first 1700 primes?
11,499,489.