What is the 2945th prime number?
The 2945th prime number is 26849. The next prime is 26861 (a gap of 12) and the one before is 26839.
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 2945th one is 26849.
- 2
26849 is prime because no prime up to ā26849 ā 163.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2945th prime is close to 2945 Ć ln(2945) ā 23524, and here it is 26849.
- 4
26849 has no twin: neither 26847 nor 26851 is prime.
Primes around the 2945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
| 2944 | 26839 | 6 |
| 2945 | 26849 | 10 |
| 2946 | 26861 | 12 |
| 2947 | 26863 | 2 |
| 2948 | 26879 | 16 |
Questions
What is the 2945th prime number?
26849.
Which prime number is 26849?
26849 is the 2945th prime number.
What is the sum of the first 2945 primes?
37,152,770.