What is the 423rd prime number?
The 423rd prime number is 2927. The next prime is 2939 (a gap of 12) and the one before is 2917.
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 423rd one is 2927.
- 2
2927 is prime because no prime up to ā2927 ā 54.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 423rd prime is close to 423 Ć ln(423) ā 2558, and here it is 2927.
- 4
2927 has no twin: neither 2925 nor 2929 is prime.
Primes around the 423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 420 | 2903 | 6 |
| 421 | 2909 | 6 |
| 422 | 2917 | 8 |
| 423 | 2927 | 10 |
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
| 426 | 2957 | 4 |
Questions
What is the 423rd prime number?
2927.
Which prime number is 2927?
2927 is the 423rd prime number.
What is the sum of the first 423 primes?
573,072.