What is the 2785th prime number?
The 2785th prime number is 25243. The next prime is 25247 (a gap of 4) and the one before is 25237.
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 2785th one is 25243.
- 2
25243 is prime because no prime up to ā25243 ā 158.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2785th prime is close to 2785 Ć ln(2785) ā 22091, and here it is 25243.
- 4
25243 has no twin: neither 25241 nor 25245 is prime.
Primes around the 2785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2782 | 25219 | 30 |
| 2783 | 25229 | 10 |
| 2784 | 25237 | 8 |
| 2785 | 25243 | 6 |
| 2786 | 25247 | 4 |
| 2787 | 25253 | 6 |
| 2788 | 25261 | 8 |
Questions
What is the 2785th prime number?
25243.
Which prime number is 25243?
25243 is the 2785th prime number.
What is the sum of the first 2785 primes?
32,983,724.