What is the 2066th prime number?
The 2066th prime number is 18041. The next prime is 18043 (a gap of 2) and the one before is 18013.
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 2066th one is 18041.
- 2
18041 is prime because no prime up to ā18041 ā 134.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2066th prime is close to 2066 Ć ln(2066) ā 15771, and here it is 18041.
- 4
18041 is a twin prime: 18041 and 18043 are both prime.
Primes around the 2066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
Questions
What is the 2066th prime number?
18041.
Which prime number is 18041?
18041 is the 2066th prime number.
What is the sum of the first 2066 primes?
17,443,391.