What is the 5989th prime number?
The 5989th prime number is 59221. The next prime is 59233 (a gap of 12) and the one before is 59219.
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 5989th one is 59221.
- 2
59221 is prime because no prime up to ā59221 ā 243.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5989th prime is close to 5989 Ć ln(5989) ā 52090, and here it is 59221.
- 4
59221 is a twin prime: 59219 and 59221 are both prime.
Primes around the 5989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5986 | 59207 | 10 |
| 5987 | 59209 | 2 |
| 5988 | 59219 | 10 |
| 5989 | 59221 | 2 |
| 5990 | 59233 | 12 |
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
Questions
What is the 5989th prime number?
59221.
Which prime number is 59221?
59221 is the 5989th prime number.
What is the sum of the first 5989 primes?
167,796,448.