What is the 8561st prime number?
The 8561st prime number is 88261. The next prime is 88289 (a gap of 28) and the one before is 88259.
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 8561st one is 88261.
- 2
88261 is prime because no prime up to ā88261 ā 297.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8561st prime is close to 8561 Ć ln(8561) ā 77520, and here it is 88261.
- 4
88261 is a twin prime: 88259 and 88261 are both prime.
Primes around the 8561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8558 | 88237 | 14 |
| 8559 | 88241 | 4 |
| 8560 | 88259 | 18 |
| 8561 | 88261 | 2 |
| 8562 | 88289 | 28 |
| 8563 | 88301 | 12 |
| 8564 | 88321 | 20 |
Questions
What is the 8561st prime number?
88261.
Which prime number is 88261?
88261 is the 8561st prime number.
What is the sum of the first 8561 primes?
357,372,406.