What is the 2787th prime number?
The 2787th prime number is 25253. The next prime is 25261 (a gap of 8) and the one before is 25247.
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 2787th one is 25253.
- 2
25253 is prime because no prime up to ā25253 ā 158.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2787th prime is close to 2787 Ć ln(2787) ā 22108, and here it is 25253.
- 4
25253 has no twin: neither 25251 nor 25255 is prime.
Primes around the 2787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2784 | 25237 | 8 |
| 2785 | 25243 | 6 |
| 2786 | 25247 | 4 |
| 2787 | 25253 | 6 |
| 2788 | 25261 | 8 |
| 2789 | 25301 | 40 |
| 2790 | 25303 | 2 |
Questions
What is the 2787th prime number?
25253.
Which prime number is 25253?
25253 is the 2787th prime number.
What is the sum of the first 2787 primes?
33,034,224.