What is the 5890th prime number?
The 5890th prime number is 58169. The next prime is 58171 (a gap of 2) and the one before is 58153.
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 5890th one is 58169.
- 2
58169 is prime because no prime up to ā58169 ā 241.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5890th prime is close to 5890 Ć ln(5890) ā 51131, and here it is 58169.
- 4
58169 is a twin prime: 58169 and 58171 are both prime.
Primes around the 5890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
Questions
What is the 5890th prime number?
58169.
Which prime number is 58169?
58169 is the 5890th prime number.
What is the sum of the first 5890 primes?
161,983,905.