What is the 8572nd prime number?
The 8572nd prime number is 88427. The next prime is 88463 (a gap of 36) and the one before is 88423.
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 8572nd one is 88427.
- 2
88427 is prime because no prime up to ā88427 ā 297.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8572nd prime is close to 8572 Ć ln(8572) ā 77630, and here it is 88427.
- 4
88427 has no twin: neither 88425 nor 88429 is prime.
Primes around the 8572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8569 | 88397 | 18 |
| 8570 | 88411 | 14 |
| 8571 | 88423 | 12 |
| 8572 | 88427 | 4 |
| 8573 | 88463 | 36 |
| 8574 | 88469 | 6 |
| 8575 | 88471 | 2 |
Questions
What is the 8572nd prime number?
88427.
Which prime number is 88427?
88427 is the 8572nd prime number.
What is the sum of the first 8572 primes?
358,344,357.