What is the 242nd prime number?
The 242nd prime number is 1531. The next prime is 1543 (a gap of 12) and the one before is 1523.
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 242nd one is 1531.
- 2
1531 is prime because no prime up to ā1531 ā 39.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 242nd prime is close to 242 Ć ln(242) ā 1328, and here it is 1531.
- 4
1531 has no twin: neither 1529 nor 1533 is prime.
Primes around the 242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 239 | 1499 | 6 |
| 240 | 1511 | 12 |
| 241 | 1523 | 12 |
| 242 | 1531 | 8 |
| 243 | 1543 | 12 |
| 244 | 1549 | 6 |
| 245 | 1553 | 4 |
Questions
What is the 242nd prime number?
1531.
Which prime number is 1531?
1531 is the 242nd prime number.
What is the sum of the first 242 primes?
169,605.