What is the 7268th prime number?
The 7268th prime number is 73607. The next prime is 73609 (a gap of 2) and the one before is 73597.
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 7268th one is 73607.
- 2
73607 is prime because no prime up to ā73607 ā 271.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7268th prime is close to 7268 Ć ln(7268) ā 64622, and here it is 73607.
- 4
73607 is a twin prime: 73607 and 73609 are both prime.
Primes around the 7268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7265 | 73583 | 12 |
| 7266 | 73589 | 6 |
| 7267 | 73597 | 8 |
| 7268 | 73607 | 10 |
| 7269 | 73609 | 2 |
| 7270 | 73613 | 4 |
| 7271 | 73637 | 24 |
Questions
What is the 7268th prime number?
73607.
Which prime number is 73607?
73607 is the 7268th prime number.
What is the sum of the first 7268 primes?
252,785,759.