What is the 2856th prime number?
The 2856th prime number is 25951. The next prime is 25969 (a gap of 18) and the one before is 25943.
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 2856th one is 25951.
- 2
25951 is prime because no prime up to ā25951 ā 161.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2856th prime is close to 2856 Ć ln(2856) ā 22726, and here it is 25951.
- 4
25951 has no twin: neither 25949 nor 25953 is prime.
Primes around the 2856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2853 | 25933 | 2 |
| 2854 | 25939 | 6 |
| 2855 | 25943 | 4 |
| 2856 | 25951 | 8 |
| 2857 | 25969 | 18 |
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
Questions
What is the 2856th prime number?
25951.
Which prime number is 25951?
25951 is the 2856th prime number.
What is the sum of the first 2856 primes?
34,801,939.