What is the 1621st prime number?
The 1621st prime number is 13709. The next prime is 13711 (a gap of 2) and the one before is 13697.
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 1621st one is 13709.
- 2
13709 is prime because no prime up to ā13709 ā 117.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1621st prime is close to 1621 Ć ln(1621) ā 11980, and here it is 13709.
- 4
13709 is a twin prime: 13709 and 13711 are both prime.
Primes around the 1621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1618 | 13691 | 4 |
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
Questions
What is the 1621st prime number?
13709.
Which prime number is 13709?
13709 is the 1621st prime number.
What is the sum of the first 1621 primes?
10,385,294.