What is the 1648th prime number?
The 1648th prime number is 13933. The next prime is 13963 (a gap of 30) and the one before is 13931.
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 1648th one is 13933.
- 2
13933 is prime because no prime up to ā13933 ā 118.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1648th prime is close to 1648 Ć ln(1648) ā 12207, and here it is 13933.
- 4
13933 is a twin prime: 13931 and 13933 are both prime.
Primes around the 1648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
| 1651 | 13997 | 30 |
Questions
What is the 1648th prime number?
13933.
Which prime number is 13933?
13933 is the 1648th prime number.
What is the sum of the first 1648 primes?
10,758,665.