What is the 8504th prime number?
The 8504th prime number is 87587. The next prime is 87589 (a gap of 2) and the one before is 87583.
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 8504th one is 87587.
- 2
87587 is prime because no prime up to ā87587 ā 295.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8504th prime is close to 8504 Ć ln(8504) ā 76947, and here it is 87587.
- 4
87587 is a twin prime: 87587 and 87589 are both prime.
Primes around the 8504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8501 | 87557 | 4 |
| 8502 | 87559 | 2 |
| 8503 | 87583 | 24 |
| 8504 | 87587 | 4 |
| 8505 | 87589 | 2 |
| 8506 | 87613 | 24 |
| 8507 | 87623 | 10 |
Questions
What is the 8504th prime number?
87587.
Which prime number is 87587?
87587 is the 8504th prime number.
What is the sum of the first 8504 primes?
352,362,527.