What is the 8539th prime number?
The 8539th prime number is 87959. The next prime is 87961 (a gap of 2) and the one before is 87943.
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 8539th one is 87959.
- 2
87959 is prime because no prime up to ā87959 ā 296.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8539th prime is close to 8539 Ć ln(8539) ā 77298, and here it is 87959.
- 4
87959 is a twin prime: 87959 and 87961 are both prime.
Primes around the 8539th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8536 | 87917 | 6 |
| 8537 | 87931 | 14 |
| 8538 | 87943 | 12 |
| 8539 | 87959 | 16 |
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
| 8542 | 87977 | 4 |
Questions
What is the 8539th prime number?
87959.
Which prime number is 87959?
87959 is the 8539th prime number.
What is the sum of the first 8539 primes?
355,434,172.