What is the 1993rd prime number?
The 1993rd prime number is 17333. The next prime is 17341 (a gap of 8) and the one before is 17327.
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 1993rd one is 17333.
- 2
17333 is prime because no prime up to ā17333 ā 131.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1993rd prime is close to 1993 Ć ln(1993) ā 15142, and here it is 17333.
- 4
17333 has no twin: neither 17331 nor 17335 is prime.
Primes around the 1993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1990 | 17317 | 18 |
| 1991 | 17321 | 4 |
| 1992 | 17327 | 6 |
| 1993 | 17333 | 6 |
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
Questions
What is the 1993rd prime number?
17333.
Which prime number is 17333?
17333 is the 1993rd prime number.
What is the sum of the first 1993 primes?
16,153,040.