What is the 1623rd prime number?
The 1623rd prime number is 13721. The next prime is 13723 (a gap of 2) and the one before is 13711.
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 1623rd one is 13721.
- 2
13721 is prime because no prime up to ā13721 ā 117.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1623rd prime is close to 1623 Ć ln(1623) ā 11997, and here it is 13721.
- 4
13721 is a twin prime: 13721 and 13723 are both prime.
Primes around the 1623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1620 | 13697 | 4 |
| 1621 | 13709 | 12 |
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
Questions
What is the 1623rd prime number?
13721.
Which prime number is 13721?
13721 is the 1623rd prime number.
What is the sum of the first 1623 primes?
10,412,726.