What is the 2912th prime number?
The 2912th prime number is 26513. The next prime is 26539 (a gap of 26) and the one before is 26501.
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 2912th one is 26513.
- 2
26513 is prime because no prime up to ā26513 ā 162.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2912th prime is close to 2912 Ć ln(2912) ā 23228, and here it is 26513.
- 4
26513 has no twin: neither 26511 nor 26515 is prime.
Primes around the 2912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2909 | 26489 | 10 |
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
| 2912 | 26513 | 12 |
| 2913 | 26539 | 26 |
| 2914 | 26557 | 18 |
| 2915 | 26561 | 4 |
Questions
What is the 2912th prime number?
26513.
Which prime number is 26513?
26513 is the 2912th prime number.
What is the sum of the first 2912 primes?
36,271,655.