What is the 2788th prime number?
The 2788th prime number is 25261. The next prime is 25301 (a gap of 40) and the one before is 25253.
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 2788th one is 25261.
- 2
25261 is prime because no prime up to ā25261 ā 158.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2788th prime is close to 2788 Ć ln(2788) ā 22117, and here it is 25261.
- 4
25261 has no twin: neither 25259 nor 25263 is prime.
Primes around the 2788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2785 | 25243 | 6 |
| 2786 | 25247 | 4 |
| 2787 | 25253 | 6 |
| 2788 | 25261 | 8 |
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
| 2791 | 25307 | 4 |
Questions
What is the 2788th prime number?
25261.
Which prime number is 25261?
25261 is the 2788th prime number.
What is the sum of the first 2788 primes?
33,059,485.