What is the 8623rd prime number?
The 8623rd prime number is 89021. The next prime is 89041 (a gap of 20) and the one before is 89017.
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 8623rd one is 89021.
- 2
89021 is prime because no prime up to ā89021 ā 298.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8623rd prime is close to 8623 Ć ln(8623) ā 78143, and here it is 89021.
- 4
89021 has no twin: neither 89019 nor 89023 is prime.
Primes around the 8623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8620 | 89003 | 6 |
| 8621 | 89009 | 6 |
| 8622 | 89017 | 8 |
| 8623 | 89021 | 4 |
| 8624 | 89041 | 20 |
| 8625 | 89051 | 10 |
| 8626 | 89057 | 6 |
Questions
What is the 8623rd prime number?
89021.
Which prime number is 89021?
89021 is the 8623rd prime number.
What is the sum of the first 8623 primes?
362,871,108.