What is the 1628th prime number?
The 1628th prime number is 13759. The next prime is 13763 (a gap of 4) and the one before is 13757.
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 1628th one is 13759.
- 2
13759 is prime because no prime up to ā13759 ā 117.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1628th prime is close to 1628 Ć ln(1628) ā 12039, and here it is 13759.
- 4
13759 is a twin prime: 13757 and 13759 are both prime.
Primes around the 1628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
Questions
What is the 1628th prime number?
13759.
Which prime number is 13759?
13759 is the 1628th prime number.
What is the sum of the first 1628 primes?
10,481,445.