What is the 2763rd prime number?
The 2763rd prime number is 25013. The next prime is 25031 (a gap of 18) and the one before is 24989.
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 2763rd one is 25013.
- 2
25013 is prime because no prime up to ā25013 ā 158.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2763rd prime is close to 2763 Ć ln(2763) ā 21894, and here it is 25013.
- 4
25013 has no twin: neither 25011 nor 25015 is prime.
Primes around the 2763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
Questions
What is the 2763rd prime number?
25013.
Which prime number is 25013?
25013 is the 2763rd prime number.
What is the sum of the first 2763 primes?
32,430,730.