What is the 7290th prime number?
The 7290th prime number is 73859. The next prime is 73867 (a gap of 8) and the one before is 73849.
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 7290th one is 73859.
- 2
73859 is prime because no prime up to ā73859 ā 271.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7290th prime is close to 7290 Ć ln(7290) ā 64839, and here it is 73859.
- 4
73859 has no twin: neither 73857 nor 73861 is prime.
Primes around the 7290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7287 | 73823 | 4 |
| 7288 | 73847 | 24 |
| 7289 | 73849 | 2 |
| 7290 | 73859 | 10 |
| 7291 | 73867 | 8 |
| 7292 | 73877 | 10 |
| 7293 | 73883 | 6 |
Questions
What is the 7290th prime number?
73859.
Which prime number is 73859?
73859 is the 7290th prime number.
What is the sum of the first 7290 primes?
254,407,753.