What is the 8958th prime number?
The 8958th prime number is 92723. The next prime is 92737 (a gap of 14) and the one before is 92717.
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 8958th one is 92723.
- 2
92723 is prime because no prime up to ā92723 ā 304.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8958th prime is close to 8958 Ć ln(8958) ā 81521, and here it is 92723.
- 4
92723 has no twin: neither 92721 nor 92725 is prime.
Primes around the 8958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8955 | 92699 | 6 |
| 8956 | 92707 | 8 |
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
Questions
What is the 8958th prime number?
92723.
Which prime number is 92723?
92723 is the 8958th prime number.
What is the sum of the first 8958 primes?
393,315,333.