What is the 8608th prime number?
The 8608th prime number is 88861. The next prime is 88867 (a gap of 6) and the one before is 88853.
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 8608th one is 88861.
- 2
88861 is prime because no prime up to ā88861 ā 298.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8608th prime is close to 8608 Ć ln(8608) ā 77992, and here it is 88861.
- 4
88861 has no twin: neither 88859 nor 88863 is prime.
Primes around the 8608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8605 | 88819 | 2 |
| 8606 | 88843 | 24 |
| 8607 | 88853 | 10 |
| 8608 | 88861 | 8 |
| 8609 | 88867 | 6 |
| 8610 | 88873 | 6 |
| 8611 | 88883 | 10 |
Questions
What is the 8608th prime number?
88861.
Which prime number is 88861?
88861 is the 8608th prime number.
What is the sum of the first 8608 primes?
361,536,869.