What is the 7244th prime number?
The 7244th prime number is 73351. The next prime is 73361 (a gap of 10) and the one before is 73331.
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 7244th one is 73351.
- 2
73351 is prime because no prime up to ā73351 ā 270.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7244th prime is close to 7244 Ć ln(7244) ā 64384, and here it is 73351.
- 4
73351 has no twin: neither 73349 nor 73353 is prime.
Primes around the 7244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
| 7244 | 73351 | 20 |
| 7245 | 73361 | 10 |
| 7246 | 73363 | 2 |
| 7247 | 73369 | 6 |
Questions
What is the 7244th prime number?
73351.
Which prime number is 73351?
73351 is the 7244th prime number.
What is the sum of the first 7244 primes?
251,022,109.