What is the 1983rd prime number?
The 1983rd prime number is 17209. The next prime is 17231 (a gap of 22) and the one before is 17207.
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 1983rd one is 17209.
- 2
17209 is prime because no prime up to ā17209 ā 131.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1983rd prime is close to 1983 Ć ln(1983) ā 15056, and here it is 17209.
- 4
17209 is a twin prime: 17207 and 17209 are both prime.
Primes around the 1983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1980 | 17191 | 2 |
| 1981 | 17203 | 12 |
| 1982 | 17207 | 4 |
| 1983 | 17209 | 2 |
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
Questions
What is the 1983rd prime number?
17209.
Which prime number is 17209?
17209 is the 1983rd prime number.
What is the sum of the first 1983 primes?
15,980,132.