What is the 8751st prime number?
The 8751st prime number is 90379. The next prime is 90397 (a gap of 18) and the one before is 90373.
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 8751st one is 90379.
- 2
90379 is prime because no prime up to ā90379 ā 300.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8751st prime is close to 8751 Ć ln(8751) ā 79432, and here it is 90379.
- 4
90379 has no twin: neither 90377 nor 90381 is prime.
Primes around the 8751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8748 | 90359 | 6 |
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
| 8752 | 90397 | 18 |
| 8753 | 90401 | 4 |
| 8754 | 90403 | 2 |
Questions
What is the 8751st prime number?
90379.
Which prime number is 90379?
90379 is the 8751st prime number.
What is the sum of the first 8751 primes?
374,353,834.