What is the 8540th prime number?
The 8540th prime number is 87961. The next prime is 87973 (a gap of 12) and the one before is 87959.
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 8540th one is 87961.
- 2
87961 is prime because no prime up to ā87961 ā 296.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8540th prime is close to 8540 Ć ln(8540) ā 77308, and here it is 87961.
- 4
87961 is a twin prime: 87959 and 87961 are both prime.
Primes around the 8540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8537 | 87931 | 14 |
| 8538 | 87943 | 12 |
| 8539 | 87959 | 16 |
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
| 8542 | 87977 | 4 |
| 8543 | 87991 | 14 |
Questions
What is the 8540th prime number?
87961.
Which prime number is 87961?
87961 is the 8540th prime number.
What is the sum of the first 8540 primes?
355,522,133.