What is the 1622nd prime number?
The 1622nd prime number is 13711. The next prime is 13721 (a gap of 10) and the one before is 13709.
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 1622nd one is 13711.
- 2
13711 is prime because no prime up to ā13711 ā 117.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1622nd prime is close to 1622 Ć ln(1622) ā 11989, and here it is 13711.
- 4
13711 is a twin prime: 13709 and 13711 are both prime.
Primes around the 1622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1619 | 13693 | 2 |
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
Questions
What is the 1622nd prime number?
13711.
Which prime number is 13711?
13711 is the 1622nd prime number.
What is the sum of the first 1622 primes?
10,399,005.