What is the 8609th prime number?
The 8609th prime number is 88867. The next prime is 88873 (a gap of 6) and the one before is 88861.
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 8609th one is 88867.
- 2
88867 is prime because no prime up to ā88867 ā 298.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8609th prime is close to 8609 Ć ln(8609) ā 78002, and here it is 88867.
- 4
88867 has no twin: neither 88865 nor 88869 is prime.
Primes around the 8609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8606 | 88843 | 24 |
| 8607 | 88853 | 10 |
| 8608 | 88861 | 8 |
| 8609 | 88867 | 6 |
| 8610 | 88873 | 6 |
| 8611 | 88883 | 10 |
| 8612 | 88897 | 14 |
Questions
What is the 8609th prime number?
88867.
Which prime number is 88867?
88867 is the 8609th prime number.
What is the sum of the first 8609 primes?
361,625,736.