What is the 8375th prime number?
The 8375th prime number is 86143. The next prime is 86161 (a gap of 18) and the one before is 86137.
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 8375th one is 86143.
- 2
86143 is prime because no prime up to ā86143 ā 293.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8375th prime is close to 8375 Ć ln(8375) ā 75651, and here it is 86143.
- 4
86143 has no twin: neither 86141 nor 86145 is prime.
Primes around the 8375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8372 | 86117 | 4 |
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
| 8375 | 86143 | 6 |
| 8376 | 86161 | 18 |
| 8377 | 86171 | 10 |
| 8378 | 86179 | 8 |
Questions
What is the 8375th prime number?
86143.
Which prime number is 86143?
86143 is the 8375th prime number.
What is the sum of the first 8375 primes?
341,156,824.