What is the 2063rd prime number?
The 2063rd prime number is 17987. The next prime is 17989 (a gap of 2) and the one before is 17981.
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 2063rd one is 17987.
- 2
17987 is prime because no prime up to ā17987 ā 134.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2063rd prime is close to 2063 Ć ln(2063) ā 15745, and here it is 17987.
- 4
17987 is a twin prime: 17987 and 17989 are both prime.
Primes around the 2063rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
| 2066 | 18041 | 28 |
Questions
What is the 2063rd prime number?
17987.
Which prime number is 17987?
17987 is the 2063rd prime number.
What is the sum of the first 2063 primes?
17,389,348.