What is the 8975th prime number?
The 8975th prime number is 92893. The next prime is 92899 (a gap of 6) and the one before is 92867.
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 8975th one is 92893.
- 2
92893 is prime because no prime up to ā92893 ā 304.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8975th prime is close to 8975 Ć ln(8975) ā 81692, and here it is 92893.
- 4
92893 has no twin: neither 92891 nor 92895 is prime.
Primes around the 8975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
| 8977 | 92921 | 22 |
| 8978 | 92927 | 6 |
Questions
What is the 8975th prime number?
92893.
Which prime number is 92893?
92893 is the 8975th prime number.
What is the sum of the first 8975 primes?
394,893,162.