What is the 2814th prime number?
The 2814th prime number is 25561. The next prime is 25577 (a gap of 16) and the one before is 25541.
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 2814th one is 25561.
- 2
25561 is prime because no prime up to ā25561 ā 159.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2814th prime is close to 2814 Ć ln(2814) ā 22350, and here it is 25561.
- 4
25561 has no twin: neither 25559 nor 25563 is prime.
Primes around the 2814th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2811 | 25523 | 52 |
| 2812 | 25537 | 14 |
| 2813 | 25541 | 4 |
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
| 2816 | 25579 | 2 |
| 2817 | 25583 | 4 |
Questions
What is the 2814th prime number?
25561.
Which prime number is 25561?
25561 is the 2814th prime number.
What is the sum of the first 2814 primes?
33,720,149.