What is the 8427th prime number?
The 8427th prime number is 86711. The next prime is 86719 (a gap of 8) and the one before is 86693.
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 8427th one is 86711.
- 2
86711 is prime because no prime up to ā86711 ā 294.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8427th prime is close to 8427 Ć ln(8427) ā 76173, and here it is 86711.
- 4
86711 has no twin: neither 86709 nor 86713 is prime.
Primes around the 8427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
| 8430 | 86743 | 14 |
Questions
What is the 8427th prime number?
86711.
Which prime number is 86711?
86711 is the 8427th prime number.
What is the sum of the first 8427 primes?
345,649,922.