What is the 1804th prime number?
The 1804th prime number is 15443. The next prime is 15451 (a gap of 8) and the one before is 15439.
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 1804th one is 15443.
- 2
15443 is prime because no prime up to ā15443 ā 124.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1804th prime is close to 1804 Ć ln(1804) ā 13526, and here it is 15443.
- 4
15443 has no twin: neither 15441 nor 15445 is prime.
Primes around the 1804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
| 1803 | 15439 | 12 |
| 1804 | 15443 | 4 |
| 1805 | 15451 | 8 |
| 1806 | 15461 | 10 |
| 1807 | 15467 | 6 |
Questions
What is the 1804th prime number?
15443.
Which prime number is 15443?
15443 is the 1804th prime number.
What is the sum of the first 1804 primes?
13,057,713.