What is the 2854th prime number?
The 2854th prime number is 25939. The next prime is 25943 (a gap of 4) and the one before is 25933.
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 2854th one is 25939.
- 2
25939 is prime because no prime up to ā25939 ā 161.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2854th prime is close to 2854 Ć ln(2854) ā 22708, and here it is 25939.
- 4
25939 has no twin: neither 25937 nor 25941 is prime.
Primes around the 2854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
| 2853 | 25933 | 2 |
| 2854 | 25939 | 6 |
| 2855 | 25943 | 4 |
| 2856 | 25951 | 8 |
| 2857 | 25969 | 18 |
Questions
What is the 2854th prime number?
25939.
Which prime number is 25939?
25939 is the 2854th prime number.
What is the sum of the first 2854 primes?
34,750,045.