What is the 7202nd prime number?
The 7202nd prime number is 72869. The next prime is 72871 (a gap of 2) and the one before is 72859.
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 7202nd one is 72869.
- 2
72869 is prime because no prime up to ā72869 ā 269.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7202nd prime is close to 7202 Ć ln(7202) ā 63969, and here it is 72869.
- 4
72869 is a twin prime: 72869 and 72871 are both prime.
Primes around the 7202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7199 | 72817 | 20 |
| 7200 | 72823 | 6 |
| 7201 | 72859 | 36 |
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
| 7204 | 72883 | 12 |
| 7205 | 72889 | 6 |
Questions
What is the 7202nd prime number?
72869.
Which prime number is 72869?
72869 is the 7202nd prime number.
What is the sum of the first 7202 primes?
247,952,981.