What is the 7198th prime number?
The 7198th prime number is 72797. The next prime is 72817 (a gap of 20) and the one before is 72767.
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 7198th one is 72797.
- 2
72797 is prime because no prime up to ā72797 ā 269.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7198th prime is close to 7198 Ć ln(7198) ā 63929, and here it is 72797.
- 4
72797 has no twin: neither 72795 nor 72799 is prime.
Primes around the 7198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7195 | 72739 | 6 |
| 7196 | 72763 | 24 |
| 7197 | 72767 | 4 |
| 7198 | 72797 | 30 |
| 7199 | 72817 | 20 |
| 7200 | 72823 | 6 |
| 7201 | 72859 | 36 |
Questions
What is the 7198th prime number?
72797.
Which prime number is 72797?
72797 is the 7198th prime number.
What is the sum of the first 7198 primes?
247,661,613.