What is the 8727th prime number?
The 8727th prime number is 90107. The next prime is 90121 (a gap of 14) and the one before is 90089.
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 8727th one is 90107.
- 2
90107 is prime because no prime up to ā90107 ā 300.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8727th prime is close to 8727 Ć ln(8727) ā 79190, and here it is 90107.
- 4
90107 has no twin: neither 90105 nor 90109 is prime.
Primes around the 8727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8724 | 90071 | 4 |
| 8725 | 90073 | 2 |
| 8726 | 90089 | 16 |
| 8727 | 90107 | 18 |
| 8728 | 90121 | 14 |
| 8729 | 90127 | 6 |
| 8730 | 90149 | 22 |
Questions
What is the 8727th prime number?
90107.
Which prime number is 90107?
90107 is the 8727th prime number.
What is the sum of the first 8727 primes?
372,187,942.