What is the 7158th prime number?
The 7158th prime number is 72313. The next prime is 72337 (a gap of 24) and the one before is 72307.
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 7158th one is 72313.
- 2
72313 is prime because no prime up to ā72313 ā 268.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7158th prime is close to 7158 Ć ln(7158) ā 63534, and here it is 72313.
- 4
72313 has no twin: neither 72311 nor 72315 is prime.
Primes around the 7158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7155 | 72277 | 6 |
| 7156 | 72287 | 10 |
| 7157 | 72307 | 20 |
| 7158 | 72313 | 6 |
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
Questions
What is the 7158th prime number?
72313.
Which prime number is 72313?
72313 is the 7158th prime number.
What is the sum of the first 7158 primes?
244,758,645.