What is the 1803rd prime number?
The 1803rd prime number is 15439. The next prime is 15443 (a gap of 4) and the one before is 15427.
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 1803rd one is 15439.
- 2
15439 is prime because no prime up to ā15439 ā 124.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1803rd prime is close to 1803 Ć ln(1803) ā 13517, and here it is 15439.
- 4
15439 has no twin: neither 15437 nor 15441 is prime.
Primes around the 1803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
| 1803 | 15439 | 12 |
| 1804 | 15443 | 4 |
| 1805 | 15451 | 8 |
| 1806 | 15461 | 10 |
Questions
What is the 1803rd prime number?
15439.
Which prime number is 15439?
15439 is the 1803rd prime number.
What is the sum of the first 1803 primes?
13,042,270.