What is the 8955th prime number?
The 8955th prime number is 92699. The next prime is 92707 (a gap of 8) and the one before is 92693.
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 8955th one is 92699.
- 2
92699 is prime because no prime up to ā92699 ā 304.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8955th prime is close to 8955 Ć ln(8955) ā 81490, and here it is 92699.
- 4
92699 has no twin: neither 92697 nor 92701 is prime.
Primes around the 8955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8952 | 92681 | 10 |
| 8953 | 92683 | 2 |
| 8954 | 92693 | 10 |
| 8955 | 92699 | 6 |
| 8956 | 92707 | 8 |
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
Questions
What is the 8955th prime number?
92699.
Which prime number is 92699?
92699 is the 8955th prime number.
What is the sum of the first 8955 primes?
393,037,186.