What is the 2766th prime number?
The 2766th prime number is 25037. The next prime is 25057 (a gap of 20) and the one before is 25033.
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 2766th one is 25037.
- 2
25037 is prime because no prime up to ā25037 ā 158.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2766th prime is close to 2766 Ć ln(2766) ā 21921, and here it is 25037.
- 4
25037 has no twin: neither 25035 nor 25039 is prime.
Primes around the 2766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
Questions
What is the 2766th prime number?
25037.
Which prime number is 25037?
25037 is the 2766th prime number.
What is the sum of the first 2766 primes?
32,505,831.