What is the 8276th prime number?
The 8276th prime number is 84979. The next prime is 84991 (a gap of 12) and the one before is 84977.
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 8276th one is 84979.
- 2
84979 is prime because no prime up to ā84979 ā 291.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8276th prime is close to 8276 Ć ln(8276) ā 74659, and here it is 84979.
- 4
84979 is a twin prime: 84977 and 84979 are both prime.
Primes around the 8276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
Questions
What is the 8276th prime number?
84979.
Which prime number is 84979?
84979 is the 8276th prime number.
What is the sum of the first 8276 primes?
332,687,289.