What is the 2046th prime number?
The 2046th prime number is 17839. The next prime is 17851 (a gap of 12) and the one before is 17837.
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 2046th one is 17839.
- 2
17839 is prime because no prime up to ā17839 ā 133.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2046th prime is close to 2046 Ć ln(2046) ā 15598, and here it is 17839.
- 4
17839 is a twin prime: 17837 and 17839 are both prime.
Primes around the 2046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
Questions
What is the 2046th prime number?
17839.
Which prime number is 17839?
17839 is the 2046th prime number.
What is the sum of the first 2046 primes?
17,084,595.