What is the 2903rd prime number?
The 2903rd prime number is 26423. The next prime is 26431 (a gap of 8) and the one before is 26417.
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 2903rd one is 26423.
- 2
26423 is prime because no prime up to ā26423 ā 162.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2903rd prime is close to 2903 Ć ln(2903) ā 23147, and here it is 26423.
- 4
26423 has no twin: neither 26421 nor 26425 is prime.
Primes around the 2903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
| 2906 | 26449 | 12 |
Questions
What is the 2903rd prime number?
26423.
Which prime number is 26423?
26423 is the 2903rd prime number.
What is the sum of the first 2903 primes?
36,033,400.