What is the 8283rd prime number?
The 8283rd prime number is 85061. The next prime is 85081 (a gap of 20) and the one before is 85049.
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 8283rd one is 85061.
- 2
85061 is prime because no prime up to ā85061 ā 291.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8283rd prime is close to 8283 Ć ln(8283) ā 74729, and here it is 85061.
- 4
85061 has no twin: neither 85059 nor 85063 is prime.
Primes around the 8283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
| 8284 | 85081 | 20 |
| 8285 | 85087 | 6 |
| 8286 | 85091 | 4 |
Questions
What is the 8283rd prime number?
85061.
Which prime number is 85061?
85061 is the 8283rd prime number.
What is the sum of the first 8283 primes?
333,282,484.