What is the 1807th prime number?
The 1807th prime number is 15467. The next prime is 15473 (a gap of 6) and the one before is 15461.
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 1807th one is 15467.
- 2
15467 is prime because no prime up to ā15467 ā 124.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1807th prime is close to 1807 Ć ln(1807) ā 13551, and here it is 15467.
- 4
15467 has no twin: neither 15465 nor 15469 is prime.
Primes around the 1807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1804 | 15443 | 4 |
| 1805 | 15451 | 8 |
| 1806 | 15461 | 10 |
| 1807 | 15467 | 6 |
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
Questions
What is the 1807th prime number?
15467.
Which prime number is 15467?
15467 is the 1807th prime number.
What is the sum of the first 1807 primes?
13,104,092.