What is the 2916th prime number?
The 2916th prime number is 26573. The next prime is 26591 (a gap of 18) and the one before is 26561.
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 2916th one is 26573.
- 2
26573 is prime because no prime up to ā26573 ā 163.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2916th prime is close to 2916 Ć ln(2916) ā 23264, and here it is 26573.
- 4
26573 has no twin: neither 26571 nor 26575 is prime.
Primes around the 2916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2913 | 26539 | 26 |
| 2914 | 26557 | 18 |
| 2915 | 26561 | 4 |
| 2916 | 26573 | 12 |
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
Questions
What is the 2916th prime number?
26573.
Which prime number is 26573?
26573 is the 2916th prime number.
What is the sum of the first 2916 primes?
36,377,885.