What is the 249th prime number?
The 249th prime number is 1579. The next prime is 1583 (a gap of 4) and the one before is 1571.
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 249th one is 1579.
- 2
1579 is prime because no prime up to ā1579 ā 39.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 249th prime is close to 249 Ć ln(249) ā 1374, and here it is 1579.
- 4
1579 has no twin: neither 1577 nor 1581 is prime.
Primes around the 249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
| 248 | 1571 | 4 |
| 249 | 1579 | 8 |
| 250 | 1583 | 4 |
| 251 | 1597 | 14 |
| 252 | 1601 | 4 |
Questions
What is the 249th prime number?
1579.
Which prime number is 1579?
1579 is the 249th prime number.
What is the sum of the first 249 primes?
180,526.