What is the 8978th prime number?
The 8978th prime number is 92927. The next prime is 92941 (a gap of 14) and the one before is 92921.
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 8978th one is 92927.
- 2
92927 is prime because no prime up to ā92927 ā 304.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8978th prime is close to 8978 Ć ln(8978) ā 81723, and here it is 92927.
- 4
92927 has no twin: neither 92925 nor 92929 is prime.
Primes around the 8978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8975 | 92893 | 26 |
| 8976 | 92899 | 6 |
| 8977 | 92921 | 22 |
| 8978 | 92927 | 6 |
| 8979 | 92941 | 14 |
| 8980 | 92951 | 10 |
| 8981 | 92957 | 6 |
Questions
What is the 8978th prime number?
92927.
Which prime number is 92927?
92927 is the 8978th prime number.
What is the sum of the first 8978 primes?
395,171,909.