What is the 7201st prime number?
The 7201st prime number is 72859. The next prime is 72869 (a gap of 10) and the one before is 72823.
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 7201st one is 72859.
- 2
72859 is prime because no prime up to ā72859 ā 269.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7201st prime is close to 7201 Ć ln(7201) ā 63959, and here it is 72859.
- 4
72859 has no twin: neither 72857 nor 72861 is prime.
Primes around the 7201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7198 | 72797 | 30 |
| 7199 | 72817 | 20 |
| 7200 | 72823 | 6 |
| 7201 | 72859 | 36 |
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
| 7204 | 72883 | 12 |
Questions
What is the 7201st prime number?
72859.
Which prime number is 72859?
72859 is the 7201st prime number.
What is the sum of the first 7201 primes?
247,880,112.