What is the 7223rd prime number?
The 7223rd prime number is 73039. The next prime is 73043 (a gap of 4) and the one before is 73037.
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 7223rd one is 73039.
- 2
73039 is prime because no prime up to ā73039 ā 270.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7223rd prime is close to 7223 Ć ln(7223) ā 64177, and here it is 73039.
- 4
73039 is a twin prime: 73037 and 73039 are both prime.
Primes around the 7223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
| 7224 | 73043 | 4 |
| 7225 | 73061 | 18 |
| 7226 | 73063 | 2 |
Questions
What is the 7223rd prime number?
73039.
Which prime number is 73039?
73039 is the 7223rd prime number.
What is the sum of the first 7223 primes?
249,484,952.