What is the 2765th prime number?
The 2765th prime number is 25033. The next prime is 25037 (a gap of 4) and the one before is 25031.
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 2765th one is 25033.
- 2
25033 is prime because no prime up to ā25033 ā 158.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2765th prime is close to 2765 Ć ln(2765) ā 21912, and here it is 25033.
- 4
25033 is a twin prime: 25031 and 25033 are both prime.
Primes around the 2765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
Questions
What is the 2765th prime number?
25033.
Which prime number is 25033?
25033 is the 2765th prime number.
What is the sum of the first 2765 primes?
32,480,794.