What is the 8729th prime number?
The 8729th prime number is 90127. The next prime is 90149 (a gap of 22) and the one before is 90121.
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 8729th one is 90127.
- 2
90127 is prime because no prime up to ā90127 ā 300.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8729th prime is close to 8729 Ć ln(8729) ā 79210, and here it is 90127.
- 4
90127 has no twin: neither 90125 nor 90129 is prime.
Primes around the 8729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8726 | 90089 | 16 |
| 8727 | 90107 | 18 |
| 8728 | 90121 | 14 |
| 8729 | 90127 | 6 |
| 8730 | 90149 | 22 |
| 8731 | 90163 | 14 |
| 8732 | 90173 | 10 |
Questions
What is the 8729th prime number?
90127.
Which prime number is 90127?
90127 is the 8729th prime number.
What is the sum of the first 8729 primes?
372,368,190.