What is the 1977th prime number?
The 1977th prime number is 17167. The next prime is 17183 (a gap of 16) and the one before is 17159.
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 1977th one is 17167.
- 2
17167 is prime because no prime up to ā17167 ā 131.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1977th prime is close to 1977 Ć ln(1977) ā 15004, and here it is 17167.
- 4
17167 has no twin: neither 17165 nor 17169 is prime.
Primes around the 1977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
| 1979 | 17189 | 6 |
| 1980 | 17191 | 2 |
Questions
What is the 1977th prime number?
17167.
Which prime number is 17167?
17167 is the 1977th prime number.
What is the sum of the first 1977 primes?
15,876,950.