What is the 8278th prime number?
The 8278th prime number is 85009. The next prime is 85021 (a gap of 12) and the one before is 84991.
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 8278th one is 85009.
- 2
85009 is prime because no prime up to ā85009 ā 291.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8278th prime is close to 8278 Ć ln(8278) ā 74679, and here it is 85009.
- 4
85009 has no twin: neither 85007 nor 85011 is prime.
Primes around the 8278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8275 | 84977 | 10 |
| 8276 | 84979 | 2 |
| 8277 | 84991 | 12 |
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
Questions
What is the 8278th prime number?
85009.
Which prime number is 85009?
85009 is the 8278th prime number.
What is the sum of the first 8278 primes?
332,857,289.