What is the 8426th prime number?
The 8426th prime number is 86693. The next prime is 86711 (a gap of 18) and the one before is 86689.
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 8426th one is 86693.
- 2
86693 is prime because no prime up to ā86693 ā 294.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8426th prime is close to 8426 Ć ln(8426) ā 76163, and here it is 86693.
- 4
86693 has no twin: neither 86691 nor 86695 is prime.
Primes around the 8426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
Questions
What is the 8426th prime number?
86693.
Which prime number is 86693?
86693 is the 8426th prime number.
What is the sum of the first 8426 primes?
345,563,211.