What is the 7270th prime number?
The 7270th prime number is 73613. The next prime is 73637 (a gap of 24) and the one before is 73609.
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 7270th one is 73613.
- 2
73613 is prime because no prime up to ā73613 ā 271.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7270th prime is close to 7270 Ć ln(7270) ā 64641, and here it is 73613.
- 4
73613 has no twin: neither 73611 nor 73615 is prime.
Primes around the 7270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7267 | 73597 | 8 |
| 7268 | 73607 | 10 |
| 7269 | 73609 | 2 |
| 7270 | 73613 | 4 |
| 7271 | 73637 | 24 |
| 7272 | 73643 | 6 |
| 7273 | 73651 | 8 |
Questions
What is the 7270th prime number?
73613.
Which prime number is 73613?
73613 is the 7270th prime number.
What is the sum of the first 7270 primes?
252,932,981.