What is the 8725th prime number?
The 8725th prime number is 90073. The next prime is 90089 (a gap of 16) and the one before is 90071.
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 8725th one is 90073.
- 2
90073 is prime because no prime up to ā90073 ā 300.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8725th prime is close to 8725 Ć ln(8725) ā 79170, and here it is 90073.
- 4
90073 is a twin prime: 90071 and 90073 are both prime.
Primes around the 8725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
| 8724 | 90071 | 4 |
| 8725 | 90073 | 2 |
| 8726 | 90089 | 16 |
| 8727 | 90107 | 18 |
| 8728 | 90121 | 14 |
Questions
What is the 8725th prime number?
90073.
Which prime number is 90073?
90073 is the 8725th prime number.
What is the sum of the first 8725 primes?
372,007,746.