What is the 1810th prime number?
The 1810th prime number is 15497. The next prime is 15511 (a gap of 14) and the one before is 15493.
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 1810th one is 15497.
- 2
15497 is prime because no prime up to ā15497 ā 124.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1810th prime is close to 1810 Ć ln(1810) ā 13577, and here it is 15497.
- 4
15497 has no twin: neither 15495 nor 15499 is prime.
Primes around the 1810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1807 | 15467 | 6 |
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
Questions
What is the 1810th prime number?
15497.
Which prime number is 15497?
15497 is the 1810th prime number.
What is the sum of the first 1810 primes?
13,150,555.