What is the 2768th prime number?
The 2768th prime number is 25073. The next prime is 25087 (a gap of 14) and the one before is 25057.
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 2768th one is 25073.
- 2
25073 is prime because no prime up to ā25073 ā 158.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2768th prime is close to 2768 Ć ln(2768) ā 21939, and here it is 25073.
- 4
25073 has no twin: neither 25071 nor 25075 is prime.
Primes around the 2768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
Questions
What is the 2768th prime number?
25073.
Which prime number is 25073?
25073 is the 2768th prime number.
What is the sum of the first 2768 primes?
32,555,961.