What is the 1990th prime number?
The 1990th prime number is 17317. The next prime is 17321 (a gap of 4) and the one before is 17299.
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 1990th one is 17317.
- 2
17317 is prime because no prime up to ā17317 ā 131.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1990th prime is close to 1990 Ć ln(1990) ā 15116, and here it is 17317.
- 4
17317 has no twin: neither 17315 nor 17319 is prime.
Primes around the 1990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
| 1989 | 17299 | 6 |
| 1990 | 17317 | 18 |
| 1991 | 17321 | 4 |
| 1992 | 17327 | 6 |
| 1993 | 17333 | 6 |
Questions
What is the 1990th prime number?
17317.
Which prime number is 17317?
17317 is the 1990th prime number.
What is the sum of the first 1990 primes?
16,101,059.