What is the 1962nd prime number?
The 1962nd prime number is 17021. The next prime is 17027 (a gap of 6) and the one before is 17011.
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 1962nd one is 17021.
- 2
17021 is prime because no prime up to ā17021 ā 130.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1962nd prime is close to 1962 Ć ln(1962) ā 14875, and here it is 17021.
- 4
17021 has no twin: neither 17019 nor 17023 is prime.
Primes around the 1962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
Questions
What is the 1962nd prime number?
17021.
Which prime number is 17021?
17021 is the 1962nd prime number.
What is the sum of the first 1962 primes?
15,620,641.