What is the 8956th prime number?
The 8956th prime number is 92707. The next prime is 92717 (a gap of 10) and the one before is 92699.
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 8956th one is 92707.
- 2
92707 is prime because no prime up to ā92707 ā 304.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8956th prime is close to 8956 Ć ln(8956) ā 81500, and here it is 92707.
- 4
92707 has no twin: neither 92705 nor 92709 is prime.
Primes around the 8956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8953 | 92683 | 2 |
| 8954 | 92693 | 10 |
| 8955 | 92699 | 6 |
| 8956 | 92707 | 8 |
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
Questions
What is the 8956th prime number?
92707.
Which prime number is 92707?
92707 is the 8956th prime number.
What is the sum of the first 8956 primes?
393,129,893.