What is the 8194th prime number?
The 8194th prime number is 84053. The next prime is 84059 (a gap of 6) and the one before is 84047.
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 8194th one is 84053.
- 2
84053 is prime because no prime up to ā84053 ā 289.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8194th prime is close to 8194 Ć ln(8194) ā 73837, and here it is 84053.
- 4
84053 has no twin: neither 84051 nor 84055 is prime.
Primes around the 8194th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8191 | 84011 | 24 |
| 8192 | 84017 | 6 |
| 8193 | 84047 | 30 |
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
Questions
What is the 8194th prime number?
84053.
Which prime number is 84053?
84053 is the 8194th prime number.
What is the sum of the first 8194 primes?
325,758,215.