What is the 1992nd prime number?
The 1992nd prime number is 17327. The next prime is 17333 (a gap of 6) and the one before is 17321.
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 1992nd one is 17327.
- 2
17327 is prime because no prime up to ā17327 ā 131.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1992nd prime is close to 1992 Ć ln(1992) ā 15133, and here it is 17327.
- 4
17327 has no twin: neither 17325 nor 17329 is prime.
Primes around the 1992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1989 | 17299 | 6 |
| 1990 | 17317 | 18 |
| 1991 | 17321 | 4 |
| 1992 | 17327 | 6 |
| 1993 | 17333 | 6 |
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
Questions
What is the 1992nd prime number?
17327.
Which prime number is 17327?
17327 is the 1992nd prime number.
What is the sum of the first 1992 primes?
16,135,707.