What is the 8962nd prime number?
The 8962nd prime number is 92767. The next prime is 92779 (a gap of 12) and the one before is 92761.
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 8962nd one is 92767.
- 2
92767 is prime because no prime up to ā92767 ā 304.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8962nd prime is close to 8962 Ć ln(8962) ā 81561, and here it is 92767.
- 4
92767 has no twin: neither 92765 nor 92769 is prime.
Primes around the 8962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
Questions
What is the 8962nd prime number?
92767.
Which prime number is 92767?
92767 is the 8962nd prime number.
What is the sum of the first 8962 primes?
393,686,351.