What is the 8178th prime number?
The 8178th prime number is 83843. The next prime is 83857 (a gap of 14) and the one before is 83833.
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 8178th one is 83843.
- 2
83843 is prime because no prime up to ā83843 ā 289.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8178th prime is close to 8178 Ć ln(8178) ā 73677, and here it is 83843.
- 4
83843 has no twin: neither 83841 nor 83845 is prime.
Primes around the 8178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8175 | 83791 | 14 |
| 8176 | 83813 | 22 |
| 8177 | 83833 | 20 |
| 8178 | 83843 | 10 |
| 8179 | 83857 | 14 |
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
Questions
What is the 8178th prime number?
83843.
Which prime number is 83843?
83843 is the 8178th prime number.
What is the sum of the first 8178 primes?
324,415,051.