What is the 1619th prime number?
The 1619th prime number is 13693. The next prime is 13697 (a gap of 4) and the one before is 13691.
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 1619th one is 13693.
- 2
13693 is prime because no prime up to ā13693 ā 117.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1619th prime is close to 1619 Ć ln(1619) ā 11964, and here it is 13693.
- 4
13693 is a twin prime: 13691 and 13693 are both prime.
Primes around the 1619th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
Questions
What is the 1619th prime number?
13693.
Which prime number is 13693?
13693 is the 1619th prime number.
What is the sum of the first 1619 primes?
10,357,888.