What is the 7205th prime number?
The 7205th prime number is 72889. The next prime is 72893 (a gap of 4) and the one before is 72883.
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 7205th one is 72889.
- 2
72889 is prime because no prime up to ā72889 ā 269.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7205th prime is close to 7205 Ć ln(7205) ā 63999, and here it is 72889.
- 4
72889 has no twin: neither 72887 nor 72891 is prime.
Primes around the 7205th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
| 7204 | 72883 | 12 |
| 7205 | 72889 | 6 |
| 7206 | 72893 | 4 |
| 7207 | 72901 | 8 |
| 7208 | 72907 | 6 |
Questions
What is the 7205th prime number?
72889.
Which prime number is 72889?
72889 is the 7205th prime number.
What is the sum of the first 7205 primes?
248,171,624.