What is the 7241st prime number?
The 7241st prime number is 73309. The next prime is 73327 (a gap of 18) and the one before is 73303.
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 7241st one is 73309.
- 2
73309 is prime because no prime up to ā73309 ā 270.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7241st prime is close to 7241 Ć ln(7241) ā 64354, and here it is 73309.
- 4
73309 has no twin: neither 73307 nor 73311 is prime.
Primes around the 7241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7238 | 73277 | 18 |
| 7239 | 73291 | 14 |
| 7240 | 73303 | 12 |
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
| 7244 | 73351 | 20 |
Questions
What is the 7241st prime number?
73309.
Which prime number is 73309?
73309 is the 7241st prime number.
What is the sum of the first 7241 primes?
250,802,100.