What is the 48th prime number?
The 48th prime number is 223. The next prime is 227 (a gap of 4) and the one before is 211.
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 48th one is 223.
- 2
223 is prime because no prime up to ā223 ā 14.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 48th prime is close to 48 Ć ln(48) ā 186, and here it is 223.
- 4
223 has no twin: neither 221 nor 225 is prime.
Primes around the 48th
| Position | Prime | Gap from the previous |
|---|---|---|
| 45 | 197 | 4 |
| 46 | 199 | 2 |
| 47 | 211 | 12 |
| 48 | 223 | 12 |
| 49 | 227 | 4 |
| 50 | 229 | 2 |
| 51 | 233 | 4 |
Questions
What is the 48th prime number?
223.
Which prime number is 223?
223 is the 48th prime number.
What is the sum of the first 48 primes?
4,661.