What is the 1809th prime number?
The 1809th prime number is 15493. The next prime is 15497 (a gap of 4) and the one before is 15473.
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 1809th one is 15493.
- 2
15493 is prime because no prime up to ā15493 ā 124.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1809th prime is close to 1809 Ć ln(1809) ā 13568, and here it is 15493.
- 4
15493 has no twin: neither 15491 nor 15495 is prime.
Primes around the 1809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1806 | 15461 | 10 |
| 1807 | 15467 | 6 |
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
Questions
What is the 1809th prime number?
15493.
Which prime number is 15493?
15493 is the 1809th prime number.
What is the sum of the first 1809 primes?
13,135,058.