What is the 8961st prime number?
The 8961st prime number is 92761. The next prime is 92767 (a gap of 6) and the one before is 92753.
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 8961st one is 92761.
- 2
92761 is prime because no prime up to ā92761 ā 304.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8961st prime is close to 8961 Ć ln(8961) ā 81551, and here it is 92761.
- 4
92761 has no twin: neither 92759 nor 92763 is prime.
Primes around the 8961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
| 8963 | 92779 | 12 |
| 8964 | 92789 | 10 |
Questions
What is the 8961st prime number?
92761.
Which prime number is 92761?
92761 is the 8961st prime number.
What is the sum of the first 8961 primes?
393,593,584.