What is the 8963rd prime number?
The 8963rd prime number is 92779. The next prime is 92789 (a gap of 10) and the one before is 92767.
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 8963rd one is 92779.
- 2
92779 is prime because no prime up to ā92779 ā 304.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8963rd prime is close to 8963 Ć ln(8963) ā 81571, and here it is 92779.
- 4
92779 has no twin: neither 92777 nor 92781 is prime.
Primes around the 8963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
| 8965 | 92791 | 2 |
| 8966 | 92801 | 10 |
Questions
What is the 8963rd prime number?
92779.
Which prime number is 92779?
92779 is the 8963rd prime number.
What is the sum of the first 8963 primes?
393,779,130.