What is the 8724th prime number?
The 8724th prime number is 90071. The next prime is 90073 (a gap of 2) and the one before is 90067.
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 8724th one is 90071.
- 2
90071 is prime because no prime up to ā90071 ā 300.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8724th prime is close to 8724 Ć ln(8724) ā 79160, and here it is 90071.
- 4
90071 is a twin prime: 90071 and 90073 are both prime.
Primes around the 8724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
| 8724 | 90071 | 4 |
| 8725 | 90073 | 2 |
| 8726 | 90089 | 16 |
| 8727 | 90107 | 18 |
Questions
What is the 8724th prime number?
90071.
Which prime number is 90071?
90071 is the 8724th prime number.
What is the sum of the first 8724 primes?
371,917,673.