What is the 7064th prime number?
The 7064th prime number is 71341. The next prime is 71347 (a gap of 6) and the one before is 71339.
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 7064th one is 71341.
- 2
71341 is prime because no prime up to ā71341 ā 267.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7064th prime is close to 7064 Ć ln(7064) ā 62607, and here it is 71341.
- 4
71341 is a twin prime: 71339 and 71341 are both prime.
Primes around the 7064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7061 | 71329 | 2 |
| 7062 | 71333 | 4 |
| 7063 | 71339 | 6 |
| 7064 | 71341 | 2 |
| 7065 | 71347 | 6 |
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
Questions
What is the 7064th prime number?
71341.
Which prime number is 71341?
71341 is the 7064th prime number.
What is the sum of the first 7064 primes?
238,006,457.