What is the 2767th prime number?
The 2767th prime number is 25057. The next prime is 25073 (a gap of 16) and the one before is 25037.
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 2767th one is 25057.
- 2
25057 is prime because no prime up to ā25057 ā 158.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2767th prime is close to 2767 Ć ln(2767) ā 21930, and here it is 25057.
- 4
25057 has no twin: neither 25055 nor 25059 is prime.
Primes around the 2767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
Questions
What is the 2767th prime number?
25057.
Which prime number is 25057?
25057 is the 2767th prime number.
What is the sum of the first 2767 primes?
32,530,888.