What is the 2939th prime number?
The 2939th prime number is 26783. The next prime is 26801 (a gap of 18) and the one before is 26777.
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 2939th one is 26783.
- 2
26783 is prime because no prime up to ā26783 ā 163.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2939th prime is close to 2939 Ć ln(2939) ā 23470, and here it is 26783.
- 4
26783 has no twin: neither 26781 nor 26785 is prime.
Primes around the 2939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2936 | 26737 | 6 |
| 2937 | 26759 | 22 |
| 2938 | 26777 | 18 |
| 2939 | 26783 | 6 |
| 2940 | 26801 | 18 |
| 2941 | 26813 | 12 |
| 2942 | 26821 | 8 |
Questions
What is the 2939th prime number?
26783.
Which prime number is 26783?
26783 is the 2939th prime number.
What is the sum of the first 2939 primes?
36,991,814.