What is the 2762nd prime number?
The 2762nd prime number is 24989. The next prime is 25013 (a gap of 24) and the one before is 24979.
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 2762nd one is 24989.
- 2
24989 is prime because no prime up to ā24989 ā 158.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2762nd prime is close to 2762 Ć ln(2762) ā 21885, and here it is 24989.
- 4
24989 has no twin: neither 24987 nor 24991 is prime.
Primes around the 2762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
Questions
What is the 2762nd prime number?
24989.
Which prime number is 24989?
24989 is the 2762nd prime number.
What is the sum of the first 2762 primes?
32,405,717.