What is the 2065th prime number?
The 2065th prime number is 18013. The next prime is 18041 (a gap of 28) and the one before is 17989.
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 2065th one is 18013.
- 2
18013 is prime because no prime up to ā18013 ā 134.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2065th prime is close to 2065 Ć ln(2065) ā 15762, and here it is 18013.
- 4
18013 has no twin: neither 18011 nor 18015 is prime.
Primes around the 2065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
Questions
What is the 2065th prime number?
18013.
Which prime number is 18013?
18013 is the 2065th prime number.
What is the sum of the first 2065 primes?
17,425,350.