What is the 2938th prime number?
The 2938th prime number is 26777. The next prime is 26783 (a gap of 6) and the one before is 26759.
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 2938th one is 26777.
- 2
26777 is prime because no prime up to ā26777 ā 163.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2938th prime is close to 2938 Ć ln(2938) ā 23461, and here it is 26777.
- 4
26777 has no twin: neither 26775 nor 26779 is prime.
Primes around the 2938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2935 | 26731 | 2 |
| 2936 | 26737 | 6 |
| 2937 | 26759 | 22 |
| 2938 | 26777 | 18 |
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
Questions
What is the 2938th prime number?
26777.
Which prime number is 26777?
26777 is the 2938th prime number.
What is the sum of the first 2938 primes?
36,965,031.