What is the 1973rd prime number?
The 1973rd prime number is 17117. The next prime is 17123 (a gap of 6) and the one before is 17107.
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 1973rd one is 17117.
- 2
17117 is prime because no prime up to ā17117 ā 130.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1973rd prime is close to 1973 Ć ln(1973) ā 14970, and here it is 17117.
- 4
17117 has no twin: neither 17115 nor 17119 is prime.
Primes around the 1973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
Questions
What is the 1973rd prime number?
17117.
Which prime number is 17117?
17117 is the 1973rd prime number.
What is the sum of the first 1973 primes?
15,808,364.