What is the 2924th prime number?
The 2924th prime number is 26681. The next prime is 26683 (a gap of 2) and the one before is 26669.
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 2924th one is 26681.
- 2
26681 is prime because no prime up to ā26681 ā 163.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2924th prime is close to 2924 Ć ln(2924) ā 23336, and here it is 26681.
- 4
26681 is a twin prime: 26681 and 26683 are both prime.
Primes around the 2924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
| 2925 | 26683 | 2 |
| 2926 | 26687 | 4 |
| 2927 | 26693 | 6 |
Questions
What is the 2924th prime number?
26681.
Which prime number is 26681?
26681 is the 2924th prime number.
What is the sum of the first 2924 primes?
36,590,971.