What is the 7200th prime number?
The 7200th prime number is 72823. The next prime is 72859 (a gap of 36) and the one before is 72817.
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 7200th one is 72823.
- 2
72823 is prime because no prime up to ā72823 ā 269.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7200th prime is close to 7200 Ć ln(7200) ā 63949, and here it is 72823.
- 4
72823 has no twin: neither 72821 nor 72825 is prime.
Primes around the 7200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7197 | 72767 | 4 |
| 7198 | 72797 | 30 |
| 7199 | 72817 | 20 |
| 7200 | 72823 | 6 |
| 7201 | 72859 | 36 |
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
Questions
What is the 7200th prime number?
72823.
Which prime number is 72823?
72823 is the 7200th prime number.
What is the sum of the first 7200 primes?
247,807,253.