What is the 7224th prime number?
The 7224th prime number is 73043. The next prime is 73061 (a gap of 18) and the one before is 73039.
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 7224th one is 73043.
- 2
73043 is prime because no prime up to ā73043 ā 270.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7224th prime is close to 7224 Ć ln(7224) ā 64186, and here it is 73043.
- 4
73043 has no twin: neither 73041 nor 73045 is prime.
Primes around the 7224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
| 7224 | 73043 | 4 |
| 7225 | 73061 | 18 |
| 7226 | 73063 | 2 |
| 7227 | 73079 | 16 |
Questions
What is the 7224th prime number?
73043.
Which prime number is 73043?
73043 is the 7224th prime number.
What is the sum of the first 7224 primes?
249,557,995.