What is the 1808th prime number?
The 1808th prime number is 15473. The next prime is 15493 (a gap of 20) and the one before is 15467.
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 1808th one is 15473.
- 2
15473 is prime because no prime up to ā15473 ā 124.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1808th prime is close to 1808 Ć ln(1808) ā 13560, and here it is 15473.
- 4
15473 has no twin: neither 15471 nor 15475 is prime.
Primes around the 1808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1805 | 15451 | 8 |
| 1806 | 15461 | 10 |
| 1807 | 15467 | 6 |
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
Questions
What is the 1808th prime number?
15473.
Which prime number is 15473?
15473 is the 1808th prime number.
What is the sum of the first 1808 primes?
13,119,565.