What is the 4241st prime number?
The 4241st prime number is 40459. The next prime is 40471 (a gap of 12) and the one before is 40433.
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 4241st one is 40459.
- 2
40459 is prime because no prime up to ā40459 ā 201.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4241st prime is close to 4241 Ć ln(4241) ā 35423, and here it is 40459.
- 4
40459 has no twin: neither 40457 nor 40461 is prime.
Primes around the 4241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4238 | 40427 | 4 |
| 4239 | 40429 | 2 |
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
Questions
What is the 4241st prime number?
40459.
Which prime number is 40459?
40459 is the 4241st prime number.
What is the sum of the first 4241 primes?
80,698,816.