What is the 1627th prime number?
The 1627th prime number is 13757. The next prime is 13759 (a gap of 2) and the one before is 13751.
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 1627th one is 13757.
- 2
13757 is prime because no prime up to ā13757 ā 117.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1627th prime is close to 1627 Ć ln(1627) ā 12031, and here it is 13757.
- 4
13757 is a twin prime: 13757 and 13759 are both prime.
Primes around the 1627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
Questions
What is the 1627th prime number?
13757.
Which prime number is 13757?
13757 is the 1627th prime number.
What is the sum of the first 1627 primes?
10,467,686.