What is the 8256th prime number?
The 8256th prime number is 84719. The next prime is 84731 (a gap of 12) and the one before is 84713.
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 8256th one is 84719.
- 2
84719 is prime because no prime up to ā84719 ā 291.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8256th prime is close to 8256 Ć ln(8256) ā 74458, and here it is 84719.
- 4
84719 has no twin: neither 84717 nor 84721 is prime.
Primes around the 8256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
| 8256 | 84719 | 6 |
| 8257 | 84731 | 12 |
| 8258 | 84737 | 6 |
| 8259 | 84751 | 14 |
Questions
What is the 8256th prime number?
84719.
Which prime number is 84719?
84719 is the 8256th prime number.
What is the sum of the first 8256 primes?
330,990,163.