What is the 1640th prime number?
The 1640th prime number is 13879. The next prime is 13883 (a gap of 4) and the one before is 13877.
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 1640th one is 13879.
- 2
13879 is prime because no prime up to ā13879 ā 117.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1640th prime is close to 1640 Ć ln(1640) ā 12140, and here it is 13879.
- 4
13879 is a twin prime: 13877 and 13879 are both prime.
Primes around the 1640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1637 | 13859 | 18 |
| 1638 | 13873 | 14 |
| 1639 | 13877 | 4 |
| 1640 | 13879 | 2 |
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
Questions
What is the 1640th prime number?
13879.
Which prime number is 13879?
13879 is the 1640th prime number.
What is the sum of the first 1640 primes?
10,647,373.