What is the 1626th prime number?
The 1626th prime number is 13751. The next prime is 13757 (a gap of 6) and the one before is 13729.
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 1626th one is 13751.
- 2
13751 is prime because no prime up to ā13751 ā 117.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1626th prime is close to 1626 Ć ln(1626) ā 12022, and here it is 13751.
- 4
13751 has no twin: neither 13749 nor 13753 is prime.
Primes around the 1626th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
Questions
What is the 1626th prime number?
13751.
Which prime number is 13751?
13751 is the 1626th prime number.
What is the sum of the first 1626 primes?
10,453,929.