What is the 2546th prime number?
The 2546th prime number is 22783. The next prime is 22787 (a gap of 4) and the one before is 22777.
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 2546th one is 22783.
- 2
22783 is prime because no prime up to ā22783 ā 150.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2546th prime is close to 2546 Ć ln(2546) ā 19966, and here it is 22783.
- 4
22783 has no twin: neither 22781 nor 22785 is prime.
Primes around the 2546th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2543 | 22751 | 10 |
| 2544 | 22769 | 18 |
| 2545 | 22777 | 8 |
| 2546 | 22783 | 6 |
| 2547 | 22787 | 4 |
| 2548 | 22807 | 20 |
| 2549 | 22811 | 4 |
Questions
What is the 2546th prime number?
22783.
Which prime number is 22783?
22783 is the 2546th prime number.
What is the sum of the first 2546 primes?
27,249,417.