What is the 62nd prime number?
The 62nd prime number is 293. The next prime is 307 (a gap of 14) and the one before is 283.
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 62nd one is 293.
- 2
293 is prime because no prime up to ā293 ā 17.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 62nd prime is close to 62 Ć ln(62) ā 256, and here it is 293.
- 4
293 has no twin: neither 291 nor 295 is prime.
Primes around the 62nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 59 | 277 | 6 |
| 60 | 281 | 4 |
| 61 | 283 | 2 |
| 62 | 293 | 10 |
| 63 | 307 | 14 |
| 64 | 311 | 4 |
| 65 | 313 | 2 |
Questions
What is the 62nd prime number?
293.
Which prime number is 293?
293 is the 62nd prime number.
What is the sum of the first 62 primes?
8,275.