What is the 8976th prime number?
The 8976th prime number is 92899. The next prime is 92921 (a gap of 22) and the one before is 92893.
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 8976th one is 92899.
- 2
92899 is prime because no prime up to ā92899 ā 304.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8976th prime is close to 8976 Ć ln(8976) ā 81702, and here it is 92899.
- 4
92899 has no twin: neither 92897 nor 92901 is prime.
Primes around the 8976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
| 8977 | 92921 | 22 |
| 8978 | 92927 | 6 |
| 8979 | 92941 | 14 |
Questions
What is the 8976th prime number?
92899.
Which prime number is 92899?
92899 is the 8976th prime number.
What is the sum of the first 8976 primes?
394,986,061.