What is the 8715th prime number?
The 8715th prime number is 90007. The next prime is 90011 (a gap of 4) and the one before is 90001.
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 8715th one is 90007.
- 2
90007 is prime because no prime up to ā90007 ā 300.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8715th prime is close to 8715 Ć ln(8715) ā 79069, and here it is 90007.
- 4
90007 has no twin: neither 90005 nor 90009 is prime.
Primes around the 8715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8712 | 89983 | 6 |
| 8713 | 89989 | 6 |
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
| 8716 | 90011 | 4 |
| 8717 | 90017 | 6 |
| 8718 | 90019 | 2 |
Questions
What is the 8715th prime number?
90007.
Which prime number is 90007?
90007 is the 8715th prime number.
What is the sum of the first 8715 primes?
371,107,322.