What is the 8634th prime number?
The 8634th prime number is 89119. The next prime is 89123 (a gap of 4) and the one before is 89113.
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 8634th one is 89119.
- 2
89119 is prime because no prime up to ā89119 ā 298.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8634th prime is close to 8634 Ć ln(8634) ā 78254, and here it is 89119.
- 4
89119 has no twin: neither 89117 nor 89121 is prime.
Primes around the 8634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8631 | 89101 | 14 |
| 8632 | 89107 | 6 |
| 8633 | 89113 | 6 |
| 8634 | 89119 | 6 |
| 8635 | 89123 | 4 |
| 8636 | 89137 | 14 |
| 8637 | 89153 | 16 |
Questions
What is the 8634th prime number?
89119.
Which prime number is 89119?
89119 is the 8634th prime number.
What is the sum of the first 8634 primes?
363,851,007.