What is the 59th prime number?
The 59th prime number is 277. The next prime is 281 (a gap of 4) and the one before is 271.
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 59th one is 277.
- 2
277 is prime because no prime up to ā277 ā 16.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 59th prime is close to 59 Ć ln(59) ā 241, and here it is 277.
- 4
277 has no twin: neither 275 nor 279 is prime.
Primes around the 59th
| Position | Prime | Gap from the previous |
|---|---|---|
| 56 | 263 | 6 |
| 57 | 269 | 6 |
| 58 | 271 | 2 |
| 59 | 277 | 6 |
| 60 | 281 | 4 |
| 61 | 283 | 2 |
| 62 | 293 | 10 |
Questions
What is the 59th prime number?
277.
Which prime number is 277?
277 is the 59th prime number.
What is the sum of the first 59 primes?
7,418.