What is the 8752nd prime number?
The 8752nd prime number is 90397. The next prime is 90401 (a gap of 4) and the one before is 90379.
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 8752nd one is 90397.
- 2
90397 is prime because no prime up to ā90397 ā 300.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8752nd prime is close to 8752 Ć ln(8752) ā 79442, and here it is 90397.
- 4
90397 has no twin: neither 90395 nor 90399 is prime.
Primes around the 8752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
| 8752 | 90397 | 18 |
| 8753 | 90401 | 4 |
| 8754 | 90403 | 2 |
| 8755 | 90407 | 4 |
Questions
What is the 8752nd prime number?
90397.
Which prime number is 90397?
90397 is the 8752nd prime number.
What is the sum of the first 8752 primes?
374,444,231.