What is the 1646th prime number?
The 1646th prime number is 13921. The next prime is 13931 (a gap of 10) and the one before is 13913.
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 1646th one is 13921.
- 2
13921 is prime because no prime up to ā13921 ā 117.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1646th prime is close to 1646 Ć ln(1646) ā 12190, and here it is 13921.
- 4
13921 has no twin: neither 13919 nor 13923 is prime.
Primes around the 1646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
Questions
What is the 1646th prime number?
13921.
Which prime number is 13921?
13921 is the 1646th prime number.
What is the sum of the first 1646 primes?
10,730,801.