What is the 8420th prime number?
The 8420th prime number is 86587. The next prime is 86599 (a gap of 12) and the one before is 86579.
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 8420th one is 86587.
- 2
86587 is prime because no prime up to ā86587 ā 294.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8420th prime is close to 8420 Ć ln(8420) ā 76103, and here it is 86587.
- 4
86587 has no twin: neither 86585 nor 86589 is prime.
Primes around the 8420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8417 | 86561 | 22 |
| 8418 | 86573 | 12 |
| 8419 | 86579 | 6 |
| 8420 | 86587 | 8 |
| 8421 | 86599 | 12 |
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
Questions
What is the 8420th prime number?
86587.
Which prime number is 86587?
86587 is the 8420th prime number.
What is the sum of the first 8420 primes?
345,043,297.