What is the 7067th prime number?
The 7067th prime number is 71359. The next prime is 71363 (a gap of 4) and the one before is 71353.
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 7067th one is 71359.
- 2
71359 is prime because no prime up to ā71359 ā 267.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7067th prime is close to 7067 Ć ln(7067) ā 62636, and here it is 71359.
- 4
71359 has no twin: neither 71357 nor 71361 is prime.
Primes around the 7067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7064 | 71341 | 2 |
| 7065 | 71347 | 6 |
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
Questions
What is the 7067th prime number?
71359.
Which prime number is 71359?
71359 is the 7067th prime number.
What is the sum of the first 7067 primes?
238,220,516.