What is the 54th prime number?
The 54th prime number is 251. The next prime is 257 (a gap of 6) and the one before is 241.
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 54th one is 251.
- 2
251 is prime because no prime up to ā251 ā 15.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 54th prime is close to 54 Ć ln(54) ā 215, and here it is 251.
- 4
251 has no twin: neither 249 nor 253 is prime.
Primes around the 54th
| Position | Prime | Gap from the previous |
|---|---|---|
| 51 | 233 | 4 |
| 52 | 239 | 6 |
| 53 | 241 | 2 |
| 54 | 251 | 10 |
| 55 | 257 | 6 |
| 56 | 263 | 6 |
| 57 | 269 | 6 |
Questions
What is the 54th prime number?
251.
Which prime number is 251?
251 is the 54th prime number.
What is the sum of the first 54 primes?
6,081.