What is the 8977th prime number?
The 8977th prime number is 92921. The next prime is 92927 (a gap of 6) and the one before is 92899.
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 8977th one is 92921.
- 2
92921 is prime because no prime up to ā92921 ā 304.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8977th prime is close to 8977 Ć ln(8977) ā 81712, and here it is 92921.
- 4
92921 has no twin: neither 92919 nor 92923 is prime.
Primes around the 8977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
| 8977 | 92921 | 22 |
| 8978 | 92927 | 6 |
| 8979 | 92941 | 14 |
| 8980 | 92951 | 10 |
Questions
What is the 8977th prime number?
92921.
Which prime number is 92921?
92921 is the 8977th prime number.
What is the sum of the first 8977 primes?
395,078,982.