What is the 2751st prime number?
The 2751st prime number is 24889. The next prime is 24907 (a gap of 18) and the one before is 24877.
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 2751st one is 24889.
- 2
24889 is prime because no prime up to ā24889 ā 157.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2751st prime is close to 2751 Ć ln(2751) ā 21787, and here it is 24889.
- 4
24889 has no twin: neither 24887 nor 24891 is prime.
Primes around the 2751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
Questions
What is the 2751st prime number?
24889.
Which prime number is 24889?
24889 is the 2751st prime number.
What is the sum of the first 2751 primes?
32,131,272.