What is the 58th prime number?
The 58th prime number is 271. The next prime is 277 (a gap of 6) and the one before is 269.
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 58th one is 271.
- 2
271 is prime because no prime up to ā271 ā 16.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 58th prime is close to 58 Ć ln(58) ā 236, and here it is 271.
- 4
271 is a twin prime: 269 and 271 are both prime.
Primes around the 58th
| Position | Prime | Gap from the previous |
|---|---|---|
| 55 | 257 | 6 |
| 56 | 263 | 6 |
| 57 | 269 | 6 |
| 58 | 271 | 2 |
| 59 | 277 | 6 |
| 60 | 281 | 4 |
| 61 | 283 | 2 |
Questions
What is the 58th prime number?
271.
Which prime number is 271?
271 is the 58th prime number.
What is the sum of the first 58 primes?
7,141.