What is the 2769th prime number?
The 2769th prime number is 25087. The next prime is 25097 (a gap of 10) and the one before is 25073.
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 2769th one is 25087.
- 2
25087 is prime because no prime up to ā25087 ā 158.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2769th prime is close to 2769 Ć ln(2769) ā 21948, and here it is 25087.
- 4
25087 has no twin: neither 25085 nor 25089 is prime.
Primes around the 2769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
Questions
What is the 2769th prime number?
25087.
Which prime number is 25087?
25087 is the 2769th prime number.
What is the sum of the first 2769 primes?
32,581,048.