What is the 7242nd prime number?
The 7242nd prime number is 73327. The next prime is 73331 (a gap of 4) and the one before is 73309.
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 7242nd one is 73327.
- 2
73327 is prime because no prime up to ā73327 ā 270.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7242nd prime is close to 7242 Ć ln(7242) ā 64364, and here it is 73327.
- 4
73327 has no twin: neither 73325 nor 73329 is prime.
Primes around the 7242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7239 | 73291 | 14 |
| 7240 | 73303 | 12 |
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
| 7244 | 73351 | 20 |
| 7245 | 73361 | 10 |
Questions
What is the 7242nd prime number?
73327.
Which prime number is 73327?
73327 is the 7242nd prime number.
What is the sum of the first 7242 primes?
250,875,427.