What is the 1645th prime number?
The 1645th prime number is 13913. The next prime is 13921 (a gap of 8) and the one before is 13907.
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 1645th one is 13913.
- 2
13913 is prime because no prime up to ā13913 ā 117.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1645th prime is close to 1645 Ć ln(1645) ā 12182, and here it is 13913.
- 4
13913 has no twin: neither 13911 nor 13915 is prime.
Primes around the 1645th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
Questions
What is the 1645th prime number?
13913.
Which prime number is 13913?
13913 is the 1645th prime number.
What is the sum of the first 1645 primes?
10,716,880.