What is the 7066th prime number?
The 7066th prime number is 71353. The next prime is 71359 (a gap of 6) and the one before is 71347.
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 7066th one is 71353.
- 2
71353 is prime because no prime up to ā71353 ā 267.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7066th prime is close to 7066 Ć ln(7066) ā 62626, and here it is 71353.
- 4
71353 has no twin: neither 71351 nor 71355 is prime.
Primes around the 7066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7063 | 71339 | 6 |
| 7064 | 71341 | 2 |
| 7065 | 71347 | 6 |
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
Questions
What is the 7066th prime number?
71353.
Which prime number is 71353?
71353 is the 7066th prime number.
What is the sum of the first 7066 primes?
238,149,157.