What is the 2068th prime number?
The 2068th prime number is 18047. The next prime is 18049 (a gap of 2) and the one before is 18043.
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 2068th one is 18047.
- 2
18047 is prime because no prime up to ā18047 ā 134.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2068th prime is close to 2068 Ć ln(2068) ā 15788, and here it is 18047.
- 4
18047 is a twin prime: 18047 and 18049 are both prime.
Primes around the 2068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
Questions
What is the 2068th prime number?
18047.
Which prime number is 18047?
18047 is the 2068th prime number.
What is the sum of the first 2068 primes?
17,479,481.