What is the 8953rd prime number?
The 8953rd prime number is 92683. The next prime is 92693 (a gap of 10) and the one before is 92681.
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 8953rd one is 92683.
- 2
92683 is prime because no prime up to ā92683 ā 304.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8953rd prime is close to 8953 Ć ln(8953) ā 81470, and here it is 92683.
- 4
92683 is a twin prime: 92681 and 92683 are both prime.
Primes around the 8953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
| 8952 | 92681 | 10 |
| 8953 | 92683 | 2 |
| 8954 | 92693 | 10 |
| 8955 | 92699 | 6 |
| 8956 | 92707 | 8 |
Questions
What is the 8953rd prime number?
92683.
Which prime number is 92683?
92683 is the 8953rd prime number.
What is the sum of the first 8953 primes?
392,851,794.