What is the 1806th prime number?
The 1806th prime number is 15461. The next prime is 15467 (a gap of 6) and the one before is 15451.
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 1806th one is 15461.
- 2
15461 is prime because no prime up to ā15461 ā 124.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1806th prime is close to 1806 Ć ln(1806) ā 13543, and here it is 15461.
- 4
15461 has no twin: neither 15459 nor 15463 is prime.
Primes around the 1806th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1803 | 15439 | 12 |
| 1804 | 15443 | 4 |
| 1805 | 15451 | 8 |
| 1806 | 15461 | 10 |
| 1807 | 15467 | 6 |
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
Questions
What is the 1806th prime number?
15461.
Which prime number is 15461?
15461 is the 1806th prime number.
What is the sum of the first 1806 primes?
13,088,625.