What is the 8973rd prime number?
The 8973rd prime number is 92863. The next prime is 92867 (a gap of 4) and the one before is 92861.
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 8973rd one is 92863.
- 2
92863 is prime because no prime up to ā92863 ā 304.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8973rd prime is close to 8973 Ć ln(8973) ā 81672, and here it is 92863.
- 4
92863 is a twin prime: 92861 and 92863 are both prime.
Primes around the 8973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
Questions
What is the 8973rd prime number?
92863.
Which prime number is 92863?
92863 is the 8973rd prime number.
What is the sum of the first 8973 primes?
394,707,402.