What is the 5889th prime number?
The 5889th prime number is 58153. The next prime is 58169 (a gap of 16) and the one before is 58151.
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 5889th one is 58153.
- 2
58153 is prime because no prime up to ā58153 ā 241.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5889th prime is close to 5889 Ć ln(5889) ā 51121, and here it is 58153.
- 4
58153 is a twin prime: 58151 and 58153 are both prime.
Primes around the 5889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
Questions
What is the 5889th prime number?
58153.
Which prime number is 58153?
58153 is the 5889th prime number.
What is the sum of the first 5889 primes?
161,925,736.