What is the 8621st prime number?
The 8621st prime number is 89009. The next prime is 89017 (a gap of 8) and the one before is 89003.
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 8621st one is 89009.
- 2
89009 is prime because no prime up to ā89009 ā 298.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8621st prime is close to 8621 Ć ln(8621) ā 78123, and here it is 89009.
- 4
89009 has no twin: neither 89007 nor 89011 is prime.
Primes around the 8621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8618 | 88993 | 24 |
| 8619 | 88997 | 4 |
| 8620 | 89003 | 6 |
| 8621 | 89009 | 6 |
| 8622 | 89017 | 8 |
| 8623 | 89021 | 4 |
| 8624 | 89041 | 20 |
Questions
What is the 8621st prime number?
89009.
Which prime number is 89009?
89009 is the 8621st prime number.
What is the sum of the first 8621 primes?
362,693,070.