What is the 1980th prime number?
The 1980th prime number is 17191. The next prime is 17203 (a gap of 12) and the one before is 17189.
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 1980th one is 17191.
- 2
17191 is prime because no prime up to ā17191 ā 131.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1980th prime is close to 1980 Ć ln(1980) ā 15030, and here it is 17191.
- 4
17191 is a twin prime: 17189 and 17191 are both prime.
Primes around the 1980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
| 1979 | 17189 | 6 |
| 1980 | 17191 | 2 |
| 1981 | 17203 | 12 |
| 1982 | 17207 | 4 |
| 1983 | 17209 | 2 |
Questions
What is the 1980th prime number?
17191.
Which prime number is 17191?
17191 is the 1980th prime number.
What is the sum of the first 1980 primes?
15,928,513.