What is the 5991st prime number?
The 5991st prime number is 59239. The next prime is 59243 (a gap of 4) and the one before is 59233.
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 5991st one is 59239.
- 2
59239 is prime because no prime up to ā59239 ā 243.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5991st prime is close to 5991 Ć ln(5991) ā 52110, and here it is 59239.
- 4
59239 has no twin: neither 59237 nor 59241 is prime.
Primes around the 5991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5988 | 59219 | 10 |
| 5989 | 59221 | 2 |
| 5990 | 59233 | 12 |
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
Questions
What is the 5991st prime number?
59239.
Which prime number is 59239?
59239 is the 5991st prime number.
What is the sum of the first 5991 primes?
167,914,920.