What is the 8960th prime number?
The 8960th prime number is 92753. The next prime is 92761 (a gap of 8) and the one before is 92737.
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 8960th one is 92753.
- 2
92753 is prime because no prime up to ā92753 ā 304.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8960th prime is close to 8960 Ć ln(8960) ā 81541, and here it is 92753.
- 4
92753 has no twin: neither 92751 nor 92755 is prime.
Primes around the 8960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
Questions
What is the 8960th prime number?
92753.
Which prime number is 92753?
92753 is the 8960th prime number.
What is the sum of the first 8960 primes?
393,500,823.