What is the 8254th prime number?
The 8254th prime number is 84701. The next prime is 84713 (a gap of 12) and the one before is 84697.
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 8254th one is 84701.
- 2
84701 is prime because no prime up to ā84701 ā 291.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8254th prime is close to 8254 Ć ln(8254) ā 74438, and here it is 84701.
- 4
84701 has no twin: neither 84699 nor 84703 is prime.
Primes around the 8254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8251 | 84673 | 14 |
| 8252 | 84691 | 18 |
| 8253 | 84697 | 6 |
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
| 8256 | 84719 | 6 |
| 8257 | 84731 | 12 |
Questions
What is the 8254th prime number?
84701.
Which prime number is 84701?
84701 is the 8254th prime number.
What is the sum of the first 8254 primes?
330,820,731.