What is the 60th prime number?
The 60th prime number is 281. The next prime is 283 (a gap of 2) and the one before is 277.
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 60th one is 281.
- 2
281 is prime because no prime up to ā281 ā 16.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 60th prime is close to 60 Ć ln(60) ā 246, and here it is 281.
- 4
281 is a twin prime: 281 and 283 are both prime.
Primes around the 60th
| Position | Prime | Gap from the previous |
|---|---|---|
| 57 | 269 | 6 |
| 58 | 271 | 2 |
| 59 | 277 | 6 |
| 60 | 281 | 4 |
| 61 | 283 | 2 |
| 62 | 293 | 10 |
| 63 | 307 | 14 |
Questions
What is the 60th prime number?
281.
Which prime number is 281?
281 is the 60th prime number.
What is the sum of the first 60 primes?
7,699.