What is the 923rd prime number?
The 923rd prime number is 7219. The next prime is 7229 (a gap of 10) and the one before is 7213.
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 923rd one is 7219.
- 2
7219 is prime because no prime up to ā7219 ā 84.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 923rd prime is close to 923 Ć ln(923) ā 6302, and here it is 7219.
- 4
7219 has no twin: neither 7217 nor 7221 is prime.
Primes around the 923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 920 | 7207 | 14 |
| 921 | 7211 | 4 |
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
Questions
What is the 923rd prime number?
7219.
Which prime number is 7219?
7219 is the 923rd prime number.
What is the sum of the first 923 primes?
3,099,124.