What is the 8458th prime number?
The 8458th prime number is 87103. The next prime is 87107 (a gap of 4) and the one before is 87083.
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 8458th one is 87103.
- 2
87103 is prime because no prime up to ā87103 ā 295.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8458th prime is close to 8458 Ć ln(8458) ā 76485, and here it is 87103.
- 4
87103 has no twin: neither 87101 nor 87105 is prime.
Primes around the 8458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8455 | 87049 | 8 |
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
| 8461 | 87121 | 2 |
Questions
What is the 8458th prime number?
87103.
Which prime number is 87103?
87103 is the 8458th prime number.
What is the sum of the first 8458 primes?
348,344,097.