What is the 2049th prime number?
The 2049th prime number is 17881. The next prime is 17891 (a gap of 10) and the one before is 17863.
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 2049th one is 17881.
- 2
17881 is prime because no prime up to ā17881 ā 133.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2049th prime is close to 2049 Ć ln(2049) ā 15624, and here it is 17881.
- 4
17881 has no twin: neither 17879 nor 17883 is prime.
Primes around the 2049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
Questions
What is the 2049th prime number?
17881.
Which prime number is 17881?
17881 is the 2049th prime number.
What is the sum of the first 2049 primes?
17,138,190.