What is the 4252nd prime number?
The 4252nd prime number is 40559. The next prime is 40577 (a gap of 18) and the one before is 40543.
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 4252nd one is 40559.
- 2
40559 is prime because no prime up to ā40559 ā 201.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4252nd prime is close to 4252 Ć ln(4252) ā 35526, and here it is 40559.
- 4
40559 has no twin: neither 40557 nor 40561 is prime.
Primes around the 4252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
Questions
What is the 4252nd prime number?
40559.
Which prime number is 40559?
40559 is the 4252nd prime number.
What is the sum of the first 4252 primes?
81,144,437.