What is the 2064th prime number?
The 2064th prime number is 17989. The next prime is 18013 (a gap of 24) and the one before is 17987.
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 2064th one is 17989.
- 2
17989 is prime because no prime up to ā17989 ā 134.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2064th prime is close to 2064 Ć ln(2064) ā 15753, and here it is 17989.
- 4
17989 is a twin prime: 17987 and 17989 are both prime.
Primes around the 2064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
Questions
What is the 2064th prime number?
17989.
Which prime number is 17989?
17989 is the 2064th prime number.
What is the sum of the first 2064 primes?
17,407,337.