What is the 8277th prime number?
The 8277th prime number is 84991. The next prime is 85009 (a gap of 18) and the one before is 84979.
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 8277th one is 84991.
- 2
84991 is prime because no prime up to ā84991 ā 291.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8277th prime is close to 8277 Ć ln(8277) ā 74669, and here it is 84991.
- 4
84991 has no twin: neither 84989 nor 84993 is prime.
Primes around the 8277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
Questions
What is the 8277th prime number?
84991.
Which prime number is 84991?
84991 is the 8277th prime number.
What is the sum of the first 8277 primes?
332,772,280.