What is the 8273rd prime number?
The 8273rd prime number is 84961. The next prime is 84967 (a gap of 6) and the one before is 84947.
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 8273rd one is 84961.
- 2
84961 is prime because no prime up to ā84961 ā 291.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8273rd prime is close to 8273 Ć ln(8273) ā 74629, and here it is 84961.
- 4
84961 has no twin: neither 84959 nor 84963 is prime.
Primes around the 8273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
Questions
What is the 8273rd prime number?
84961.
Which prime number is 84961?
84961 is the 8273rd prime number.
What is the sum of the first 8273 primes?
332,432,366.