What is the 7204th prime number?
The 7204th prime number is 72883. The next prime is 72889 (a gap of 6) and the one before is 72871.
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 7204th one is 72883.
- 2
72883 is prime because no prime up to ā72883 ā 269.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7204th prime is close to 7204 Ć ln(7204) ā 63989, and here it is 72883.
- 4
72883 has no twin: neither 72881 nor 72885 is prime.
Primes around the 7204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7201 | 72859 | 36 |
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
| 7204 | 72883 | 12 |
| 7205 | 72889 | 6 |
| 7206 | 72893 | 4 |
| 7207 | 72901 | 8 |
Questions
What is the 7204th prime number?
72883.
Which prime number is 72883?
72883 is the 7204th prime number.
What is the sum of the first 7204 primes?
248,098,735.