What is the 1974th prime number?
The 1974th prime number is 17123. The next prime is 17137 (a gap of 14) and the one before is 17117.
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 1974th one is 17123.
- 2
17123 is prime because no prime up to ā17123 ā 130.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1974th prime is close to 1974 Ć ln(1974) ā 14978, and here it is 17123.
- 4
17123 has no twin: neither 17121 nor 17125 is prime.
Primes around the 1974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
Questions
What is the 1974th prime number?
17123.
Which prime number is 17123?
17123 is the 1974th prime number.
What is the sum of the first 1974 primes?
15,825,487.