What is the 8739th prime number?
The 8739th prime number is 90227. The next prime is 90239 (a gap of 12) and the one before is 90217.
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 8739th one is 90227.
- 2
90227 is prime because no prime up to ā90227 ā 300.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8739th prime is close to 8739 Ć ln(8739) ā 79311, and here it is 90227.
- 4
90227 has no twin: neither 90225 nor 90229 is prime.
Primes around the 8739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8736 | 90199 | 2 |
| 8737 | 90203 | 4 |
| 8738 | 90217 | 14 |
| 8739 | 90227 | 10 |
| 8740 | 90239 | 12 |
| 8741 | 90247 | 8 |
| 8742 | 90263 | 16 |
Questions
What is the 8739th prime number?
90227.
Which prime number is 90227?
90227 is the 8739th prime number.
What is the sum of the first 8739 primes?
373,270,096.