What is the 8759th prime number?
The 8759th prime number is 90473. The next prime is 90481 (a gap of 8) and the one before is 90469.
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 8759th one is 90473.
- 2
90473 is prime because no prime up to ā90473 ā 300.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8759th prime is close to 8759 Ć ln(8759) ā 79513, and here it is 90473.
- 4
90473 has no twin: neither 90471 nor 90475 is prime.
Primes around the 8759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8756 | 90437 | 30 |
| 8757 | 90439 | 2 |
| 8758 | 90469 | 30 |
| 8759 | 90473 | 4 |
| 8760 | 90481 | 8 |
| 8761 | 90499 | 18 |
| 8762 | 90511 | 12 |
Questions
What is the 8759th prime number?
90473.
Which prime number is 90473?
90473 is the 8759th prime number.
What is the sum of the first 8759 primes?
375,077,260.