What is the 8274th prime number?
The 8274th prime number is 84967. The next prime is 84977 (a gap of 10) and the one before is 84961.
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 8274th one is 84967.
- 2
84967 is prime because no prime up to ā84967 ā 291.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8274th prime is close to 8274 Ć ln(8274) ā 74639, and here it is 84967.
- 4
84967 has no twin: neither 84965 nor 84969 is prime.
Primes around the 8274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
Questions
What is the 8274th prime number?
84967.
Which prime number is 84967?
84967 is the 8274th prime number.
What is the sum of the first 8274 primes?
332,517,333.