What is the 8761st prime number?
The 8761st prime number is 90499. The next prime is 90511 (a gap of 12) and the one before is 90481.
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 8761st one is 90499.
- 2
90499 is prime because no prime up to ā90499 ā 300.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8761st prime is close to 8761 Ć ln(8761) ā 79533, and here it is 90499.
- 4
90499 has no twin: neither 90497 nor 90501 is prime.
Primes around the 8761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8758 | 90469 | 30 |
| 8759 | 90473 | 4 |
| 8760 | 90481 | 8 |
| 8761 | 90499 | 18 |
| 8762 | 90511 | 12 |
| 8763 | 90523 | 12 |
| 8764 | 90527 | 4 |
Questions
What is the 8761st prime number?
90499.
Which prime number is 90499?
90499 is the 8761st prime number.
What is the sum of the first 8761 primes?
375,258,240.