What is the 8730th prime number?
The 8730th prime number is 90149. The next prime is 90163 (a gap of 14) and the one before is 90127.
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 8730th one is 90149.
- 2
90149 is prime because no prime up to ā90149 ā 300.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8730th prime is close to 8730 Ć ln(8730) ā 79221, and here it is 90149.
- 4
90149 has no twin: neither 90147 nor 90151 is prime.
Primes around the 8730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8727 | 90107 | 18 |
| 8728 | 90121 | 14 |
| 8729 | 90127 | 6 |
| 8730 | 90149 | 22 |
| 8731 | 90163 | 14 |
| 8732 | 90173 | 10 |
| 8733 | 90187 | 14 |
Questions
What is the 8730th prime number?
90149.
Which prime number is 90149?
90149 is the 8730th prime number.
What is the sum of the first 8730 primes?
372,458,339.