What is the 2067th prime number?
The 2067th prime number is 18043. The next prime is 18047 (a gap of 4) and the one before is 18041.
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 2067th one is 18043.
- 2
18043 is prime because no prime up to ā18043 ā 134.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2067th prime is close to 2067 Ć ln(2067) ā 15779, and here it is 18043.
- 4
18043 is a twin prime: 18041 and 18043 are both prime.
Primes around the 2067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
Questions
What is the 2067th prime number?
18043.
Which prime number is 18043?
18043 is the 2067th prime number.
What is the sum of the first 2067 primes?
17,461,434.