What is the 7315th prime number?
The 7315th prime number is 74159. The next prime is 74161 (a gap of 2) and the one before is 74149.
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 7315th one is 74159.
- 2
74159 is prime because no prime up to ā74159 ā 272.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7315th prime is close to 7315 Ć ln(7315) ā 65087, and here it is 74159.
- 4
74159 is a twin prime: 74159 and 74161 are both prime.
Primes around the 7315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7312 | 74131 | 30 |
| 7313 | 74143 | 12 |
| 7314 | 74149 | 6 |
| 7315 | 74159 | 10 |
| 7316 | 74161 | 2 |
| 7317 | 74167 | 6 |
| 7318 | 74177 | 10 |
Questions
What is the 7315th prime number?
74159.
Which prime number is 74159?
74159 is the 7315th prime number.
What is the sum of the first 7315 primes?
256,258,136.