What is the 1963rd prime number?
The 1963rd prime number is 17027. The next prime is 17029 (a gap of 2) and the one before is 17021.
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 1963rd one is 17027.
- 2
17027 is prime because no prime up to ā17027 ā 130.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1963rd prime is close to 1963 Ć ln(1963) ā 14884, and here it is 17027.
- 4
17027 is a twin prime: 17027 and 17029 are both prime.
Primes around the 1963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
Questions
What is the 1963rd prime number?
17027.
Which prime number is 17027?
17027 is the 1963rd prime number.
What is the sum of the first 1963 primes?
15,637,668.