What is the 8282nd prime number?
The 8282nd prime number is 85049. The next prime is 85061 (a gap of 12) and the one before is 85037.
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 8282nd one is 85049.
- 2
85049 is prime because no prime up to ā85049 ā 291.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8282nd prime is close to 8282 Ć ln(8282) ā 74719, and here it is 85049.
- 4
85049 has no twin: neither 85047 nor 85051 is prime.
Primes around the 8282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
| 8284 | 85081 | 20 |
| 8285 | 85087 | 6 |
Questions
What is the 8282nd prime number?
85049.
Which prime number is 85049?
85049 is the 8282nd prime number.
What is the sum of the first 8282 primes?
333,197,423.