What is the 1818th prime number?
The 1818th prime number is 15583. The next prime is 15601 (a gap of 18) and the one before is 15581.
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 1818th one is 15583.
- 2
15583 is prime because no prime up to ā15583 ā 124.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1818th prime is close to 1818 Ć ln(1818) ā 13645, and here it is 15583.
- 4
15583 is a twin prime: 15581 and 15583 are both prime.
Primes around the 1818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1815 | 15559 | 8 |
| 1816 | 15569 | 10 |
| 1817 | 15581 | 12 |
| 1818 | 15583 | 2 |
| 1819 | 15601 | 18 |
| 1820 | 15607 | 6 |
| 1821 | 15619 | 12 |
Questions
What is the 1818th prime number?
15583.
Which prime number is 15583?
15583 is the 1818th prime number.
What is the sum of the first 1818 primes?
13,274,977.