What is the 8501st prime number?
The 8501st prime number is 87557. The next prime is 87559 (a gap of 2) and the one before is 87553.
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 8501st one is 87557.
- 2
87557 is prime because no prime up to ā87557 ā 295.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8501st prime is close to 8501 Ć ln(8501) ā 76917, and here it is 87557.
- 4
87557 is a twin prime: 87557 and 87559 are both prime.
Primes around the 8501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8498 | 87541 | 2 |
| 8499 | 87547 | 6 |
| 8500 | 87553 | 6 |
| 8501 | 87557 | 4 |
| 8502 | 87559 | 2 |
| 8503 | 87583 | 24 |
| 8504 | 87587 | 4 |
Questions
What is the 8501st prime number?
87557.
Which prime number is 87557?
87557 is the 8501st prime number.
What is the sum of the first 8501 primes?
352,099,798.