What is the 8421st prime number?
The 8421st prime number is 86599. The next prime is 86627 (a gap of 28) and the one before is 86587.
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 8421st one is 86599.
- 2
86599 is prime because no prime up to ā86599 ā 294.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8421st prime is close to 8421 Ć ln(8421) ā 76113, and here it is 86599.
- 4
86599 has no twin: neither 86597 nor 86601 is prime.
Primes around the 8421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8418 | 86573 | 12 |
| 8419 | 86579 | 6 |
| 8420 | 86587 | 8 |
| 8421 | 86599 | 12 |
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
Questions
What is the 8421st prime number?
86599.
Which prime number is 86599?
86599 is the 8421st prime number.
What is the sum of the first 8421 primes?
345,129,896.