What is the 8255th prime number?
The 8255th prime number is 84713. The next prime is 84719 (a gap of 6) and the one before is 84701.
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 8255th one is 84713.
- 2
84713 is prime because no prime up to ā84713 ā 291.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8255th prime is close to 8255 Ć ln(8255) ā 74448, and here it is 84713.
- 4
84713 has no twin: neither 84711 nor 84715 is prime.
Primes around the 8255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8252 | 84691 | 18 |
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
| 8256 | 84719 | 6 |
| 8257 | 84731 | 12 |
| 8258 | 84737 | 6 |
Questions
What is the 8255th prime number?
84713.
Which prime number is 84713?
84713 is the 8255th prime number.
What is the sum of the first 8255 primes?
330,905,444.