What is the 2917th prime number?
The 2917th prime number is 26591. The next prime is 26597 (a gap of 6) and the one before is 26573.
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 2917th one is 26591.
- 2
26591 is prime because no prime up to ā26591 ā 163.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2917th prime is close to 2917 Ć ln(2917) ā 23273, and here it is 26591.
- 4
26591 has no twin: neither 26589 nor 26593 is prime.
Primes around the 2917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2914 | 26557 | 18 |
| 2915 | 26561 | 4 |
| 2916 | 26573 | 12 |
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
Questions
What is the 2917th prime number?
26591.
Which prime number is 26591?
26591 is the 2917th prime number.
What is the sum of the first 2917 primes?
36,404,476.