What is the 247th prime number?
The 247th prime number is 1567. The next prime is 1571 (a gap of 4) and the one before is 1559.
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 247th one is 1567.
- 2
1567 is prime because no prime up to ā1567 ā 39.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 247th prime is close to 247 Ć ln(247) ā 1361, and here it is 1567.
- 4
1567 has no twin: neither 1565 nor 1569 is prime.
Primes around the 247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 244 | 1549 | 6 |
| 245 | 1553 | 4 |
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
| 248 | 1571 | 4 |
| 249 | 1579 | 8 |
| 250 | 1583 | 4 |
Questions
What is the 247th prime number?
1567.
Which prime number is 1567?
1567 is the 247th prime number.
What is the sum of the first 247 primes?
177,376.