What is the 2548th prime number?
The 2548th prime number is 22807. The next prime is 22811 (a gap of 4) and the one before is 22787.
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 2548th one is 22807.
- 2
22807 is prime because no prime up to ā22807 ā 151.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2548th prime is close to 2548 Ć ln(2548) ā 19984, and here it is 22807.
- 4
22807 has no twin: neither 22805 nor 22809 is prime.
Primes around the 2548th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2545 | 22777 | 8 |
| 2546 | 22783 | 6 |
| 2547 | 22787 | 4 |
| 2548 | 22807 | 20 |
| 2549 | 22811 | 4 |
| 2550 | 22817 | 6 |
| 2551 | 22853 | 36 |
Questions
What is the 2548th prime number?
22807.
Which prime number is 22807?
22807 is the 2548th prime number.
What is the sum of the first 2548 primes?
27,295,011.