What is the 8424th prime number?
The 8424th prime number is 86677. The next prime is 86689 (a gap of 12) and the one before is 86629.
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 8424th one is 86677.
- 2
86677 is prime because no prime up to ā86677 ā 294.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8424th prime is close to 8424 Ć ln(8424) ā 76143, and here it is 86677.
- 4
86677 has no twin: neither 86675 nor 86679 is prime.
Primes around the 8424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8421 | 86599 | 12 |
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
Questions
What is the 8424th prime number?
86677.
Which prime number is 86677?
86677 is the 8424th prime number.
What is the sum of the first 8424 primes?
345,389,829.