What is the 8376th prime number?
The 8376th prime number is 86161. The next prime is 86171 (a gap of 10) and the one before is 86143.
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 8376th one is 86161.
- 2
86161 is prime because no prime up to ā86161 ā 293.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8376th prime is close to 8376 Ć ln(8376) ā 75661, and here it is 86161.
- 4
86161 has no twin: neither 86159 nor 86163 is prime.
Primes around the 8376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
| 8375 | 86143 | 6 |
| 8376 | 86161 | 18 |
| 8377 | 86171 | 10 |
| 8378 | 86179 | 8 |
| 8379 | 86183 | 4 |
Questions
What is the 8376th prime number?
86161.
Which prime number is 86161?
86161 is the 8376th prime number.
What is the sum of the first 8376 primes?
341,242,985.