What is the 8559th prime number?
The 8559th prime number is 88241. The next prime is 88259 (a gap of 18) and the one before is 88237.
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 8559th one is 88241.
- 2
88241 is prime because no prime up to ā88241 ā 297.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8559th prime is close to 8559 Ć ln(8559) ā 77500, and here it is 88241.
- 4
88241 has no twin: neither 88239 nor 88243 is prime.
Primes around the 8559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8556 | 88211 | 34 |
| 8557 | 88223 | 12 |
| 8558 | 88237 | 14 |
| 8559 | 88241 | 4 |
| 8560 | 88259 | 18 |
| 8561 | 88261 | 2 |
| 8562 | 88289 | 28 |
Questions
What is the 8559th prime number?
88241.
Which prime number is 88241?
88241 is the 8559th prime number.
What is the sum of the first 8559 primes?
357,195,886.