What is the 7148th prime number?
The 7148th prime number is 72223. The next prime is 72227 (a gap of 4) and the one before is 72221.
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 7148th one is 72223.
- 2
72223 is prime because no prime up to ā72223 ā 268.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7148th prime is close to 7148 Ć ln(7148) ā 63436, and here it is 72223.
- 4
72223 is a twin prime: 72221 and 72223 are both prime.
Primes around the 7148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
Questions
What is the 7148th prime number?
72223.
Which prime number is 72223?
72223 is the 7148th prime number.
What is the sum of the first 7148 primes?
244,035,961.