What is the 2928th prime number?
The 2928th prime number is 26699. The next prime is 26701 (a gap of 2) and the one before is 26693.
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 2928th one is 26699.
- 2
26699 is prime because no prime up to ā26699 ā 163.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2928th prime is close to 2928 Ć ln(2928) ā 23372, and here it is 26699.
- 4
26699 is a twin prime: 26699 and 26701 are both prime.
Primes around the 2928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2925 | 26683 | 2 |
| 2926 | 26687 | 4 |
| 2927 | 26693 | 6 |
| 2928 | 26699 | 6 |
| 2929 | 26701 | 2 |
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
Questions
What is the 2928th prime number?
26699.
Which prime number is 26699?
26699 is the 2928th prime number.
What is the sum of the first 2928 primes?
36,697,733.