What is the 8974th prime number?
The 8974th prime number is 92867. The next prime is 92893 (a gap of 26) and the one before is 92863.
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 8974th one is 92867.
- 2
92867 is prime because no prime up to ā92867 ā 304.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8974th prime is close to 8974 Ć ln(8974) ā 81682, and here it is 92867.
- 4
92867 has no twin: neither 92865 nor 92869 is prime.
Primes around the 8974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
| 8977 | 92921 | 22 |
Questions
What is the 8974th prime number?
92867.
Which prime number is 92867?
92867 is the 8974th prime number.
What is the sum of the first 8974 primes?
394,800,269.