What is the 1978th prime number?
The 1978th prime number is 17183. The next prime is 17189 (a gap of 6) and the one before is 17167.
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 1978th one is 17183.
- 2
17183 is prime because no prime up to ā17183 ā 131.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1978th prime is close to 1978 Ć ln(1978) ā 15013, and here it is 17183.
- 4
17183 has no twin: neither 17181 nor 17185 is prime.
Primes around the 1978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
| 1979 | 17189 | 6 |
| 1980 | 17191 | 2 |
| 1981 | 17203 | 12 |
Questions
What is the 1978th prime number?
17183.
Which prime number is 17183?
17183 is the 1978th prime number.
What is the sum of the first 1978 primes?
15,894,133.