What is the 2048th prime number?
The 2048th prime number is 17863. The next prime is 17881 (a gap of 18) and the one before is 17851.
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 2048th one is 17863.
- 2
17863 is prime because no prime up to ā17863 ā 133.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2048th prime is close to 2048 Ć ln(2048) ā 15615, and here it is 17863.
- 4
17863 has no twin: neither 17861 nor 17865 is prime.
Primes around the 2048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
Questions
What is the 2048th prime number?
17863.
Which prime number is 17863?
17863 is the 2048th prime number.
What is the sum of the first 2048 primes?
17,120,309.