What is the 2653rd prime number?
The 2653rd prime number is 23857. The next prime is 23869 (a gap of 12) and the one before is 23833.
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 2653rd one is 23857.
- 2
23857 is prime because no prime up to ā23857 ā 154.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2653rd prime is close to 2653 Ć ln(2653) ā 20915, and here it is 23857.
- 4
23857 has no twin: neither 23855 nor 23859 is prime.
Primes around the 2653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
| 2652 | 23833 | 2 |
| 2653 | 23857 | 24 |
| 2654 | 23869 | 12 |
| 2655 | 23873 | 4 |
| 2656 | 23879 | 6 |
Questions
What is the 2653rd prime number?
23857.
Which prime number is 23857?
23857 is the 2653rd prime number.
What is the sum of the first 2653 primes?
29,745,904.