What is the 7240th prime number?
The 7240th prime number is 73303. The next prime is 73309 (a gap of 6) and the one before is 73291.
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 7240th one is 73303.
- 2
73303 is prime because no prime up to ā73303 ā 270.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7240th prime is close to 7240 Ć ln(7240) ā 64345, and here it is 73303.
- 4
73303 has no twin: neither 73301 nor 73305 is prime.
Primes around the 7240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7237 | 73259 | 16 |
| 7238 | 73277 | 18 |
| 7239 | 73291 | 14 |
| 7240 | 73303 | 12 |
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
Questions
What is the 7240th prime number?
73303.
Which prime number is 73303?
73303 is the 7240th prime number.
What is the sum of the first 7240 primes?
250,728,791.