What is the 8714th prime number?
The 8714th prime number is 90001. The next prime is 90007 (a gap of 6) and the one before is 89989.
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 8714th one is 90001.
- 2
90001 is prime because no prime up to ā90001 ā 300.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8714th prime is close to 8714 Ć ln(8714) ā 79059, and here it is 90001.
- 4
90001 has no twin: neither 89999 nor 90003 is prime.
Primes around the 8714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8711 | 89977 | 14 |
| 8712 | 89983 | 6 |
| 8713 | 89989 | 6 |
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
| 8716 | 90011 | 4 |
| 8717 | 90017 | 6 |
Questions
What is the 8714th prime number?
90001.
Which prime number is 90001?
90001 is the 8714th prime number.
What is the sum of the first 8714 primes?
371,017,315.