What is the 248th prime number?
The 248th prime number is 1571. The next prime is 1579 (a gap of 8) and the one before is 1567.
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 248th one is 1571.
- 2
1571 is prime because no prime up to ā1571 ā 39.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 248th prime is close to 248 Ć ln(248) ā 1367, and here it is 1571.
- 4
1571 has no twin: neither 1569 nor 1573 is prime.
Primes around the 248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 245 | 1553 | 4 |
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
| 248 | 1571 | 4 |
| 249 | 1579 | 8 |
| 250 | 1583 | 4 |
| 251 | 1597 | 14 |
Questions
What is the 248th prime number?
1571.
Which prime number is 1571?
1571 is the 248th prime number.
What is the sum of the first 248 primes?
178,947.