What is the 2940th prime number?
The 2940th prime number is 26801. The next prime is 26813 (a gap of 12) and the one before is 26783.
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 2940th one is 26801.
- 2
26801 is prime because no prime up to ā26801 ā 163.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2940th prime is close to 2940 Ć ln(2940) ā 23479, and here it is 26801.
- 4
26801 has no twin: neither 26799 nor 26803 is prime.
Primes around the 2940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2937 | 26759 | 22 |
| 2938 | 26777 | 18 |
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
| 2943 | 26833 | 12 |
Questions
What is the 2940th prime number?
26801.
Which prime number is 26801?
26801 is the 2940th prime number.
What is the sum of the first 2940 primes?
37,018,615.