What is the 1817th prime number?
The 1817th prime number is 15581. The next prime is 15583 (a gap of 2) and the one before is 15569.
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 1817th one is 15581.
- 2
15581 is prime because no prime up to ā15581 ā 124.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1817th prime is close to 1817 Ć ln(1817) ā 13636, and here it is 15581.
- 4
15581 is a twin prime: 15581 and 15583 are both prime.
Primes around the 1817th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1814 | 15551 | 10 |
| 1815 | 15559 | 8 |
| 1816 | 15569 | 10 |
| 1817 | 15581 | 12 |
| 1818 | 15583 | 2 |
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
Questions
What is the 1817th prime number?
15581.
Which prime number is 15581?
15581 is the 1817th prime number.
What is the sum of the first 1817 primes?
13,259,394.