What is the 2047th prime number?
The 2047th prime number is 17851. The next prime is 17863 (a gap of 12) and the one before is 17839.
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 2047th one is 17851.
- 2
17851 is prime because no prime up to ā17851 ā 133.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2047th prime is close to 2047 Ć ln(2047) ā 15607, and here it is 17851.
- 4
17851 has no twin: neither 17849 nor 17853 is prime.
Primes around the 2047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
Questions
What is the 2047th prime number?
17851.
Which prime number is 17851?
17851 is the 2047th prime number.
What is the sum of the first 2047 primes?
17,102,446.