What is the 1649th prime number?
The 1649th prime number is 13963. The next prime is 13967 (a gap of 4) and the one before is 13933.
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 1649th one is 13963.
- 2
13963 is prime because no prime up to ā13963 ā 118.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1649th prime is close to 1649 Ć ln(1649) ā 12216, and here it is 13963.
- 4
13963 has no twin: neither 13961 nor 13965 is prime.
Primes around the 1649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1646 | 13921 | 8 |
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
| 1651 | 13997 | 30 |
| 1652 | 13999 | 2 |
Questions
What is the 1649th prime number?
13963.
Which prime number is 13963?
13963 is the 1649th prime number.
What is the sum of the first 1649 primes?
10,772,628.