What is the 7243rd prime number?
The 7243rd prime number is 73331. The next prime is 73351 (a gap of 20) and the one before is 73327.
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 7243rd one is 73331.
- 2
73331 is prime because no prime up to ā73331 ā 270.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7243rd prime is close to 7243 Ć ln(7243) ā 64374, and here it is 73331.
- 4
73331 has no twin: neither 73329 nor 73333 is prime.
Primes around the 7243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7240 | 73303 | 12 |
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
| 7244 | 73351 | 20 |
| 7245 | 73361 | 10 |
| 7246 | 73363 | 2 |
Questions
What is the 7243rd prime number?
73331.
Which prime number is 73331?
73331 is the 7243rd prime number.
What is the sum of the first 7243 primes?
250,948,758.