What is the 2913th prime number?
The 2913th prime number is 26539. The next prime is 26557 (a gap of 18) and the one before is 26513.
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 2913th one is 26539.
- 2
26539 is prime because no prime up to ā26539 ā 162.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2913th prime is close to 2913 Ć ln(2913) ā 23237, and here it is 26539.
- 4
26539 has no twin: neither 26537 nor 26541 is prime.
Primes around the 2913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2910 | 26497 | 8 |
| 2911 | 26501 | 4 |
| 2912 | 26513 | 12 |
| 2913 | 26539 | 26 |
| 2914 | 26557 | 18 |
| 2915 | 26561 | 4 |
| 2916 | 26573 | 12 |
Questions
What is the 2913th prime number?
26539.
Which prime number is 26539?
26539 is the 2913th prime number.
What is the sum of the first 2913 primes?
36,298,194.