What is the 4507th prime number?
The 4507th prime number is 43151. The next prime is 43159 (a gap of 8) and the one before is 43133.
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 4507th one is 43151.
- 2
43151 is prime because no prime up to ā43151 ā 207.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4507th prime is close to 4507 Ć ln(4507) ā 37919, and here it is 43151.
- 4
43151 has no twin: neither 43149 nor 43153 is prime.
Primes around the 4507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
| 4508 | 43159 | 8 |
| 4509 | 43177 | 18 |
| 4510 | 43189 | 12 |
Questions
What is the 4507th prime number?
43151.
Which prime number is 43151?
43151 is the 4507th prime number.
What is the sum of the first 4507 primes?
91,822,156.