What is the 8275th prime number?
The 8275th prime number is 84977. The next prime is 84979 (a gap of 2) and the one before is 84967.
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 8275th one is 84977.
- 2
84977 is prime because no prime up to ā84977 ā 291.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8275th prime is close to 8275 Ć ln(8275) ā 74649, and here it is 84977.
- 4
84977 is a twin prime: 84977 and 84979 are both prime.
Primes around the 8275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
Questions
What is the 8275th prime number?
84977.
Which prime number is 84977?
84977 is the 8275th prime number.
What is the sum of the first 8275 primes?
332,602,310.