What is the 8722nd prime number?
The 8722nd prime number is 90059. The next prime is 90067 (a gap of 8) and the one before is 90053.
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 8722nd one is 90059.
- 2
90059 is prime because no prime up to ā90059 ā 300.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8722nd prime is close to 8722 Ć ln(8722) ā 79140, and here it is 90059.
- 4
90059 has no twin: neither 90057 nor 90061 is prime.
Primes around the 8722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8719 | 90023 | 4 |
| 8720 | 90031 | 8 |
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
| 8724 | 90071 | 4 |
| 8725 | 90073 | 2 |
Questions
What is the 8722nd prime number?
90059.
Which prime number is 90059?
90059 is the 8722nd prime number.
What is the sum of the first 8722 primes?
371,737,535.