What is the 8459th prime number?
The 8459th prime number is 87107. The next prime is 87119 (a gap of 12) and the one before is 87103.
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 8459th one is 87107.
- 2
87107 is prime because no prime up to ā87107 ā 295.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8459th prime is close to 8459 Ć ln(8459) ā 76495, and here it is 87107.
- 4
87107 has no twin: neither 87105 nor 87109 is prime.
Primes around the 8459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
| 8461 | 87121 | 2 |
| 8462 | 87133 | 12 |
Questions
What is the 8459th prime number?
87107.
Which prime number is 87107?
87107 is the 8459th prime number.
What is the sum of the first 8459 primes?
348,431,204.