What is the 8740th prime number?
The 8740th prime number is 90239. The next prime is 90247 (a gap of 8) and the one before is 90227.
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 8740th one is 90239.
- 2
90239 is prime because no prime up to ā90239 ā 300.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8740th prime is close to 8740 Ć ln(8740) ā 79321, and here it is 90239.
- 4
90239 has no twin: neither 90237 nor 90241 is prime.
Primes around the 8740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8737 | 90203 | 4 |
| 8738 | 90217 | 14 |
| 8739 | 90227 | 10 |
| 8740 | 90239 | 12 |
| 8741 | 90247 | 8 |
| 8742 | 90263 | 16 |
| 8743 | 90271 | 8 |
Questions
What is the 8740th prime number?
90239.
Which prime number is 90239?
90239 is the 8740th prime number.
What is the sum of the first 8740 primes?
373,360,335.