What is the 4250th prime number?
The 4250th prime number is 40531. The next prime is 40543 (a gap of 12) and the one before is 40529.
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 4250th one is 40531.
- 2
40531 is prime because no prime up to ā40531 ā 201.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4250th prime is close to 4250 Ć ln(4250) ā 35507, and here it is 40531.
- 4
40531 is a twin prime: 40529 and 40531 are both prime.
Primes around the 4250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
Questions
What is the 4250th prime number?
40531.
Which prime number is 40531?
40531 is the 4250th prime number.
What is the sum of the first 4250 primes?
81,063,335.