What is the 2750th prime number?
The 2750th prime number is 24877. The next prime is 24889 (a gap of 12) and the one before is 24859.
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 2750th one is 24877.
- 2
24877 is prime because no prime up to ā24877 ā 157.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2750th prime is close to 2750 Ć ln(2750) ā 21778, and here it is 24877.
- 4
24877 has no twin: neither 24875 nor 24879 is prime.
Primes around the 2750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
Questions
What is the 2750th prime number?
24877.
Which prime number is 24877?
24877 is the 2750th prime number.
What is the sum of the first 2750 primes?
32,106,383.