What is the 4251st prime number?
The 4251st prime number is 40543. The next prime is 40559 (a gap of 16) and the one before is 40531.
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 4251st one is 40543.
- 2
40543 is prime because no prime up to ā40543 ā 201.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4251st prime is close to 4251 Ć ln(4251) ā 35517, and here it is 40543.
- 4
40543 has no twin: neither 40541 nor 40545 is prime.
Primes around the 4251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
Questions
What is the 4251st prime number?
40543.
Which prime number is 40543?
40543 is the 4251st prime number.
What is the sum of the first 4251 primes?
81,103,878.