What is the 8428th prime number?
The 8428th prime number is 86719. The next prime is 86729 (a gap of 10) and the one before is 86711.
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 8428th one is 86719.
- 2
86719 is prime because no prime up to ā86719 ā 294.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8428th prime is close to 8428 Ć ln(8428) ā 76183, and here it is 86719.
- 4
86719 has no twin: neither 86717 nor 86721 is prime.
Primes around the 8428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
| 8430 | 86743 | 14 |
| 8431 | 86753 | 10 |
Questions
What is the 8428th prime number?
86719.
Which prime number is 86719?
86719 is the 8428th prime number.
What is the sum of the first 8428 primes?
345,736,641.