What is the 8728th prime number?
The 8728th prime number is 90121. The next prime is 90127 (a gap of 6) and the one before is 90107.
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 8728th one is 90121.
- 2
90121 is prime because no prime up to ā90121 ā 300.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8728th prime is close to 8728 Ć ln(8728) ā 79200, and here it is 90121.
- 4
90121 has no twin: neither 90119 nor 90123 is prime.
Primes around the 8728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8725 | 90073 | 2 |
| 8726 | 90089 | 16 |
| 8727 | 90107 | 18 |
| 8728 | 90121 | 14 |
| 8729 | 90127 | 6 |
| 8730 | 90149 | 22 |
| 8731 | 90163 | 14 |
Questions
What is the 8728th prime number?
90121.
Which prime number is 90121?
90121 is the 8728th prime number.
What is the sum of the first 8728 primes?
372,278,063.