What is the 2926th prime number?
The 2926th prime number is 26687. The next prime is 26693 (a gap of 6) and the one before is 26683.
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 2926th one is 26687.
- 2
26687 is prime because no prime up to ā26687 ā 163.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2926th prime is close to 2926 Ć ln(2926) ā 23354, and here it is 26687.
- 4
26687 has no twin: neither 26685 nor 26689 is prime.
Primes around the 2926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
| 2925 | 26683 | 2 |
| 2926 | 26687 | 4 |
| 2927 | 26693 | 6 |
| 2928 | 26699 | 6 |
| 2929 | 26701 | 2 |
Questions
What is the 2926th prime number?
26687.
Which prime number is 26687?
26687 is the 2926th prime number.
What is the sum of the first 2926 primes?
36,644,341.