What is the 8957th prime number?
The 8957th prime number is 92717. The next prime is 92723 (a gap of 6) and the one before is 92707.
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 8957th one is 92717.
- 2
92717 is prime because no prime up to ā92717 ā 304.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8957th prime is close to 8957 Ć ln(8957) ā 81510, and here it is 92717.
- 4
92717 has no twin: neither 92715 nor 92719 is prime.
Primes around the 8957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8954 | 92693 | 10 |
| 8955 | 92699 | 6 |
| 8956 | 92707 | 8 |
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
Questions
What is the 8957th prime number?
92717.
Which prime number is 92717?
92717 is the 8957th prime number.
What is the sum of the first 8957 primes?
393,222,610.