What is the 1982nd prime number?
The 1982nd prime number is 17207. The next prime is 17209 (a gap of 2) and the one before is 17203.
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 1982nd one is 17207.
- 2
17207 is prime because no prime up to ā17207 ā 131.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1982nd prime is close to 1982 Ć ln(1982) ā 15047, and here it is 17207.
- 4
17207 is a twin prime: 17207 and 17209 are both prime.
Primes around the 1982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1979 | 17189 | 6 |
| 1980 | 17191 | 2 |
| 1981 | 17203 | 12 |
| 1982 | 17207 | 4 |
| 1983 | 17209 | 2 |
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
Questions
What is the 1982nd prime number?
17207.
Which prime number is 17207?
17207 is the 1982nd prime number.
What is the sum of the first 1982 primes?
15,962,923.