What is the 2905th prime number?
The 2905th prime number is 26437. The next prime is 26449 (a gap of 12) and the one before is 26431.
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 2905th one is 26437.
- 2
26437 is prime because no prime up to ā26437 ā 162.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2905th prime is close to 2905 Ć ln(2905) ā 23165, and here it is 26437.
- 4
26437 has no twin: neither 26435 nor 26439 is prime.
Primes around the 2905th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
| 2908 | 26479 | 20 |
Questions
What is the 2905th prime number?
26437.
Which prime number is 26437?
26437 is the 2905th prime number.
What is the sum of the first 2905 primes?
36,086,268.