What is the 1994th prime number?
The 1994th prime number is 17341. The next prime is 17351 (a gap of 10) and the one before is 17333.
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 1994th one is 17341.
- 2
17341 is prime because no prime up to ā17341 ā 131.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1994th prime is close to 1994 Ć ln(1994) ā 15150, and here it is 17341.
- 4
17341 has no twin: neither 17339 nor 17343 is prime.
Primes around the 1994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1991 | 17321 | 4 |
| 1992 | 17327 | 6 |
| 1993 | 17333 | 6 |
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
Questions
What is the 1994th prime number?
17341.
Which prime number is 17341?
17341 is the 1994th prime number.
What is the sum of the first 1994 primes?
16,170,381.