What is the 2925th prime number?
The 2925th prime number is 26683. The next prime is 26687 (a gap of 4) and the one before is 26681.
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 2925th one is 26683.
- 2
26683 is prime because no prime up to ā26683 ā 163.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2925th prime is close to 2925 Ć ln(2925) ā 23345, and here it is 26683.
- 4
26683 is a twin prime: 26681 and 26683 are both prime.
Primes around the 2925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
| 2925 | 26683 | 2 |
| 2926 | 26687 | 4 |
| 2927 | 26693 | 6 |
| 2928 | 26699 | 6 |
Questions
What is the 2925th prime number?
26683.
Which prime number is 26683?
26683 is the 2925th prime number.
What is the sum of the first 2925 primes?
36,617,654.