What is the 2915th prime number?
The 2915th prime number is 26561. The next prime is 26573 (a gap of 12) and the one before is 26557.
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 2915th one is 26561.
- 2
26561 is prime because no prime up to ā26561 ā 162.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2915th prime is close to 2915 Ć ln(2915) ā 23255, and here it is 26561.
- 4
26561 has no twin: neither 26559 nor 26563 is prime.
Primes around the 2915th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2912 | 26513 | 12 |
| 2913 | 26539 | 26 |
| 2914 | 26557 | 18 |
| 2915 | 26561 | 4 |
| 2916 | 26573 | 12 |
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
Questions
What is the 2915th prime number?
26561.
Which prime number is 26561?
26561 is the 2915th prime number.
What is the sum of the first 2915 primes?
36,351,312.