What is the 7245th prime number?
The 7245th prime number is 73361. The next prime is 73363 (a gap of 2) and the one before is 73351.
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 7245th one is 73361.
- 2
73361 is prime because no prime up to ā73361 ā 270.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7245th prime is close to 7245 Ć ln(7245) ā 64394, and here it is 73361.
- 4
73361 is a twin prime: 73361 and 73363 are both prime.
Primes around the 7245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7242 | 73327 | 18 |
| 7243 | 73331 | 4 |
| 7244 | 73351 | 20 |
| 7245 | 73361 | 10 |
| 7246 | 73363 | 2 |
| 7247 | 73369 | 6 |
| 7248 | 73379 | 10 |
Questions
What is the 7245th prime number?
73361.
Which prime number is 73361?
73361 is the 7245th prime number.
What is the sum of the first 7245 primes?
251,095,470.