What is the 8620th prime number?
The 8620th prime number is 89003. The next prime is 89009 (a gap of 6) and the one before is 88997.
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 8620th one is 89003.
- 2
89003 is prime because no prime up to ā89003 ā 298.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8620th prime is close to 8620 Ć ln(8620) ā 78113, and here it is 89003.
- 4
89003 has no twin: neither 89001 nor 89005 is prime.
Primes around the 8620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8617 | 88969 | 18 |
| 8618 | 88993 | 24 |
| 8619 | 88997 | 4 |
| 8620 | 89003 | 6 |
| 8621 | 89009 | 6 |
| 8622 | 89017 | 8 |
| 8623 | 89021 | 4 |
Questions
What is the 8620th prime number?
89003.
Which prime number is 89003?
89003 is the 8620th prime number.
What is the sum of the first 8620 primes?
362,604,061.