What is the 2937th prime number?
The 2937th prime number is 26759. The next prime is 26777 (a gap of 18) and the one before is 26737.
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 2937th one is 26759.
- 2
26759 is prime because no prime up to ā26759 ā 163.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2937th prime is close to 2937 Ć ln(2937) ā 23452, and here it is 26759.
- 4
26759 has no twin: neither 26757 nor 26761 is prime.
Primes around the 2937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2934 | 26729 | 6 |
| 2935 | 26731 | 2 |
| 2936 | 26737 | 6 |
| 2937 | 26759 | 22 |
| 2938 | 26777 | 18 |
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
Questions
What is the 2937th prime number?
26759.
Which prime number is 26759?
26759 is the 2937th prime number.
What is the sum of the first 2937 primes?
36,938,254.