What is the 2756th prime number?
The 2756th prime number is 24943. The next prime is 24953 (a gap of 10) and the one before is 24923.
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 2756th one is 24943.
- 2
24943 is prime because no prime up to ā24943 ā 157.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2756th prime is close to 2756 Ć ln(2756) ā 21832, and here it is 24943.
- 4
24943 has no twin: neither 24941 nor 24945 is prime.
Primes around the 2756th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
Questions
What is the 2756th prime number?
24943.
Which prime number is 24943?
24943 is the 2756th prime number.
What is the sum of the first 2756 primes?
32,255,881.