What is the 7197th prime number?
The 7197th prime number is 72767. The next prime is 72797 (a gap of 30) and the one before is 72763.
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 7197th one is 72767.
- 2
72767 is prime because no prime up to ā72767 ā 269.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7197th prime is close to 7197 Ć ln(7197) ā 63920, and here it is 72767.
- 4
72767 has no twin: neither 72765 nor 72769 is prime.
Primes around the 7197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7194 | 72733 | 6 |
| 7195 | 72739 | 6 |
| 7196 | 72763 | 24 |
| 7197 | 72767 | 4 |
| 7198 | 72797 | 30 |
| 7199 | 72817 | 20 |
| 7200 | 72823 | 6 |
Questions
What is the 7197th prime number?
72767.
Which prime number is 72767?
72767 is the 7197th prime number.
What is the sum of the first 7197 primes?
247,588,816.