What is the 8557th prime number?
The 8557th prime number is 88223. The next prime is 88237 (a gap of 14) and the one before is 88211.
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 8557th one is 88223.
- 2
88223 is prime because no prime up to ā88223 ā 297.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8557th prime is close to 8557 Ć ln(8557) ā 77479, and here it is 88223.
- 4
88223 has no twin: neither 88221 nor 88225 is prime.
Primes around the 8557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8554 | 88169 | 40 |
| 8555 | 88177 | 8 |
| 8556 | 88211 | 34 |
| 8557 | 88223 | 12 |
| 8558 | 88237 | 14 |
| 8559 | 88241 | 4 |
| 8560 | 88259 | 18 |
Questions
What is the 8557th prime number?
88223.
Which prime number is 88223?
88223 is the 8557th prime number.
What is the sum of the first 8557 primes?
357,019,408.