What is the 2904th prime number?
The 2904th prime number is 26431. The next prime is 26437 (a gap of 6) and the one before is 26423.
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 2904th one is 26431.
- 2
26431 is prime because no prime up to ā26431 ā 162.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2904th prime is close to 2904 Ć ln(2904) ā 23156, and here it is 26431.
- 4
26431 has no twin: neither 26429 nor 26433 is prime.
Primes around the 2904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
| 2907 | 26459 | 10 |
Questions
What is the 2904th prime number?
26431.
Which prime number is 26431?
26431 is the 2904th prime number.
What is the sum of the first 2904 primes?
36,059,831.