What is the 241st prime number?
The 241st prime number is 1523. The next prime is 1531 (a gap of 8) and the one before is 1511.
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 241st one is 1523.
- 2
1523 is prime because no prime up to ā1523 ā 39.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 241st prime is close to 241 Ć ln(241) ā 1322, and here it is 1523.
- 4
1523 has no twin: neither 1521 nor 1525 is prime.
Primes around the 241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 238 | 1493 | 4 |
| 239 | 1499 | 6 |
| 240 | 1511 | 12 |
| 241 | 1523 | 12 |
| 242 | 1531 | 8 |
| 243 | 1543 | 12 |
| 244 | 1549 | 6 |
Questions
What is the 241st prime number?
1523.
Which prime number is 1523?
1523 is the 241st prime number.
What is the sum of the first 241 primes?
168,074.