What is the 1979th prime number?
The 1979th prime number is 17189. The next prime is 17191 (a gap of 2) and the one before is 17183.
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 1979th one is 17189.
- 2
17189 is prime because no prime up to ā17189 ā 131.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1979th prime is close to 1979 Ć ln(1979) ā 15021, and here it is 17189.
- 4
17189 is a twin prime: 17189 and 17191 are both prime.
Primes around the 1979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
| 1979 | 17189 | 6 |
| 1980 | 17191 | 2 |
| 1981 | 17203 | 12 |
| 1982 | 17207 | 4 |
Questions
What is the 1979th prime number?
17189.
Which prime number is 17189?
17189 is the 1979th prime number.
What is the sum of the first 1979 primes?
15,911,322.