What is the 1639th prime number?
The 1639th prime number is 13877. The next prime is 13879 (a gap of 2) and the one before is 13873.
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 1639th one is 13877.
- 2
13877 is prime because no prime up to ā13877 ā 117.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1639th prime is close to 1639 Ć ln(1639) ā 12132, and here it is 13877.
- 4
13877 is a twin prime: 13877 and 13879 are both prime.
Primes around the 1639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1636 | 13841 | 10 |
| 1637 | 13859 | 18 |
| 1638 | 13873 | 14 |
| 1639 | 13877 | 4 |
| 1640 | 13879 | 2 |
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
Questions
What is the 1639th prime number?
13877.
Which prime number is 13877?
13877 is the 1639th prime number.
What is the sum of the first 1639 primes?
10,633,494.