What is the 8723rd prime number?
The 8723rd prime number is 90067. The next prime is 90071 (a gap of 4) and the one before is 90059.
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 8723rd one is 90067.
- 2
90067 is prime because no prime up to ā90067 ā 300.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8723rd prime is close to 8723 Ć ln(8723) ā 79150, and here it is 90067.
- 4
90067 has no twin: neither 90065 nor 90069 is prime.
Primes around the 8723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8720 | 90031 | 8 |
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
| 8724 | 90071 | 4 |
| 8725 | 90073 | 2 |
| 8726 | 90089 | 16 |
Questions
What is the 8723rd prime number?
90067.
Which prime number is 90067?
90067 is the 8723rd prime number.
What is the sum of the first 8723 primes?
371,827,602.