What is the 7065th prime number?
The 7065th prime number is 71347. The next prime is 71353 (a gap of 6) and the one before is 71341.
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 7065th one is 71347.
- 2
71347 is prime because no prime up to ā71347 ā 267.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7065th prime is close to 7065 Ć ln(7065) ā 62616, and here it is 71347.
- 4
71347 has no twin: neither 71345 nor 71349 is prime.
Primes around the 7065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7062 | 71333 | 4 |
| 7063 | 71339 | 6 |
| 7064 | 71341 | 2 |
| 7065 | 71347 | 6 |
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
Questions
What is the 7065th prime number?
71347.
Which prime number is 71347?
71347 is the 7065th prime number.
What is the sum of the first 7065 primes?
238,077,804.