What is the 1644th prime number?
The 1644th prime number is 13907. The next prime is 13913 (a gap of 6) and the one before is 13903.
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 1644th one is 13907.
- 2
13907 is prime because no prime up to ā13907 ā 117.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1644th prime is close to 1644 Ć ln(1644) ā 12174, and here it is 13907.
- 4
13907 has no twin: neither 13905 nor 13909 is prime.
Primes around the 1644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
Questions
What is the 1644th prime number?
13907.
Which prime number is 13907?
13907 is the 1644th prime number.
What is the sum of the first 1644 primes?
10,702,967.