What is the 2944th prime number?
The 2944th prime number is 26839. The next prime is 26849 (a gap of 10) and the one before is 26833.
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 2944th one is 26839.
- 2
26839 is prime because no prime up to ā26839 ā 163.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2944th prime is close to 2944 Ć ln(2944) ā 23515, and here it is 26839.
- 4
26839 has no twin: neither 26837 nor 26841 is prime.
Primes around the 2944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
Questions
What is the 2944th prime number?
26839.
Which prime number is 26839?
26839 is the 2944th prime number.
What is the sum of the first 2944 primes?
37,125,921.