What is the 1999th prime number?
The 1999th prime number is 17387. The next prime is 17389 (a gap of 2) and the one before is 17383.
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 1999th one is 17387.
- 2
17387 is prime because no prime up to ā17387 ā 131.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1999th prime is close to 1999 Ć ln(1999) ā 15193, and here it is 17387.
- 4
17387 is a twin prime: 17387 and 17389 are both prime.
Primes around the 1999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
| 1998 | 17383 | 6 |
| 1999 | 17387 | 4 |
| 2000 | 17389 | 2 |
| 2001 | 17393 | 4 |
| 2002 | 17401 | 8 |
Questions
What is the 1999th prime number?
17387.
Which prime number is 17387?
17387 is the 1999th prime number.
What is the sum of the first 1999 primes?
16,257,238.