What is the 244th prime number?
The 244th prime number is 1549. The next prime is 1553 (a gap of 4) and the one before is 1543.
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 244th one is 1549.
- 2
1549 is prime because no prime up to ā1549 ā 39.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 244th prime is close to 244 Ć ln(244) ā 1341, and here it is 1549.
- 4
1549 has no twin: neither 1547 nor 1551 is prime.
Primes around the 244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 241 | 1523 | 12 |
| 242 | 1531 | 8 |
| 243 | 1543 | 12 |
| 244 | 1549 | 6 |
| 245 | 1553 | 4 |
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
Questions
What is the 244th prime number?
1549.
Which prime number is 1549?
1549 is the 244th prime number.
What is the sum of the first 244 primes?
172,697.