What is the 1989th prime number?
The 1989th prime number is 17299. The next prime is 17317 (a gap of 18) and the one before is 17293.
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 1989th one is 17299.
- 2
17299 is prime because no prime up to ā17299 ā 131.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1989th prime is close to 1989 Ć ln(1989) ā 15107, and here it is 17299.
- 4
17299 has no twin: neither 17297 nor 17301 is prime.
Primes around the 1989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
| 1989 | 17299 | 6 |
| 1990 | 17317 | 18 |
| 1991 | 17321 | 4 |
| 1992 | 17327 | 6 |
Questions
What is the 1989th prime number?
17299.
Which prime number is 17299?
17299 is the 1989th prime number.
What is the sum of the first 1989 primes?
16,083,742.