What is the 5990th prime number?
The 5990th prime number is 59233. The next prime is 59239 (a gap of 6) and the one before is 59221.
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 5990th one is 59233.
- 2
59233 is prime because no prime up to ā59233 ā 243.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5990th prime is close to 5990 Ć ln(5990) ā 52100, and here it is 59233.
- 4
59233 has no twin: neither 59231 nor 59235 is prime.
Primes around the 5990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5987 | 59209 | 2 |
| 5988 | 59219 | 10 |
| 5989 | 59221 | 2 |
| 5990 | 59233 | 12 |
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
Questions
What is the 5990th prime number?
59233.
Which prime number is 59233?
59233 is the 5990th prime number.
What is the sum of the first 5990 primes?
167,855,681.