What is the 1618th prime number?
The 1618th prime number is 13691. The next prime is 13693 (a gap of 2) and the one before is 13687.
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 1618th one is 13691.
- 2
13691 is prime because no prime up to ā13691 ā 117.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1618th prime is close to 1618 Ć ln(1618) ā 11955, and here it is 13691.
- 4
13691 is a twin prime: 13691 and 13693 are both prime.
Primes around the 1618th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
Questions
What is the 1618th prime number?
13691.
Which prime number is 13691?
13691 is the 1618th prime number.
What is the sum of the first 1618 primes?
10,344,195.