What is the 2918th prime number?
The 2918th prime number is 26597. The next prime is 26627 (a gap of 30) and the one before is 26591.
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 2918th one is 26597.
- 2
26597 is prime because no prime up to ā26597 ā 163.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2918th prime is close to 2918 Ć ln(2918) ā 23282, and here it is 26597.
- 4
26597 has no twin: neither 26595 nor 26599 is prime.
Primes around the 2918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2915 | 26561 | 4 |
| 2916 | 26573 | 12 |
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
Questions
What is the 2918th prime number?
26597.
Which prime number is 26597?
26597 is the 2918th prime number.
What is the sum of the first 2918 primes?
36,431,073.