What is the 1704th prime number?
The 1704th prime number is 14549. The next prime is 14551 (a gap of 2) and the one before is 14543.
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 1704th one is 14549.
- 2
14549 is prime because no prime up to ā14549 ā 120.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1704th prime is close to 1704 Ć ln(1704) ā 12679, and here it is 14549.
- 4
14549 is a twin prime: 14549 and 14551 are both prime.
Primes around the 1704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1701 | 14533 | 14 |
| 1702 | 14537 | 4 |
| 1703 | 14543 | 6 |
| 1704 | 14549 | 6 |
| 1705 | 14551 | 2 |
| 1706 | 14557 | 6 |
| 1707 | 14561 | 4 |
Questions
What is the 1704th prime number?
14549.
Which prime number is 14549?
14549 is the 1704th prime number.
What is the sum of the first 1704 primes?
11,557,651.