What is the 1998th prime number?
The 1998th prime number is 17383. The next prime is 17387 (a gap of 4) and the one before is 17377.
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 1998th one is 17383.
- 2
17383 is prime because no prime up to ā17383 ā 131.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1998th prime is close to 1998 Ć ln(1998) ā 15185, and here it is 17383.
- 4
17383 has no twin: neither 17381 nor 17385 is prime.
Primes around the 1998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
| 1998 | 17383 | 6 |
| 1999 | 17387 | 4 |
| 2000 | 17389 | 2 |
| 2001 | 17393 | 4 |
Questions
What is the 1998th prime number?
17383.
Which prime number is 17383?
17383 is the 1998th prime number.
What is the sum of the first 1998 primes?
16,239,851.