What is the 8760th prime number?
The 8760th prime number is 90481. The next prime is 90499 (a gap of 18) and the one before is 90473.
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 8760th one is 90481.
- 2
90481 is prime because no prime up to ā90481 ā 300.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8760th prime is close to 8760 Ć ln(8760) ā 79523, and here it is 90481.
- 4
90481 has no twin: neither 90479 nor 90483 is prime.
Primes around the 8760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8757 | 90439 | 2 |
| 8758 | 90469 | 30 |
| 8759 | 90473 | 4 |
| 8760 | 90481 | 8 |
| 8761 | 90499 | 18 |
| 8762 | 90511 | 12 |
| 8763 | 90523 | 12 |
Questions
What is the 8760th prime number?
90481.
Which prime number is 90481?
90481 is the 8760th prime number.
What is the sum of the first 8760 primes?
375,167,741.