What is the 53rd prime number?
The 53rd prime number is 241. The next prime is 251 (a gap of 10) and the one before is 239.
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 53rd one is 241.
- 2
241 is prime because no prime up to ā241 ā 15.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 53rd prime is close to 53 Ć ln(53) ā 210, and here it is 241.
- 4
241 is a twin prime: 239 and 241 are both prime.
Primes around the 53rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 50 | 229 | 2 |
| 51 | 233 | 4 |
| 52 | 239 | 6 |
| 53 | 241 | 2 |
| 54 | 251 | 10 |
| 55 | 257 | 6 |
| 56 | 263 | 6 |
Questions
What is the 53rd prime number?
241.
Which prime number is 241?
241 is the 53rd prime number.
What is the sum of the first 53 primes?
5,830.