What is the 2752nd prime number?
The 2752nd prime number is 24907. The next prime is 24917 (a gap of 10) and the one before is 24889.
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 2752nd one is 24907.
- 2
24907 is prime because no prime up to ā24907 ā 157.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2752nd prime is close to 2752 Ć ln(2752) ā 21796, and here it is 24907.
- 4
24907 has no twin: neither 24905 nor 24909 is prime.
Primes around the 2752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
Questions
What is the 2752nd prime number?
24907.
Which prime number is 24907?
24907 is the 2752nd prime number.
What is the sum of the first 2752 primes?
32,156,179.