What is the 1647th prime number?
The 1647th prime number is 13931. The next prime is 13933 (a gap of 2) and the one before is 13921.
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 1647th one is 13931.
- 2
13931 is prime because no prime up to ā13931 ā 118.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1647th prime is close to 1647 Ć ln(1647) ā 12199, and here it is 13931.
- 4
13931 is a twin prime: 13931 and 13933 are both prime.
Primes around the 1647th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
Questions
What is the 1647th prime number?
13931.
Which prime number is 13931?
13931 is the 1647th prime number.
What is the sum of the first 1647 primes?
10,744,732.