What is the 7069th prime number?
The 7069th prime number is 71387. The next prime is 71389 (a gap of 2) and the one before is 71363.
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 7069th one is 71387.
- 2
71387 is prime because no prime up to ā71387 ā 267.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7069th prime is close to 7069 Ć ln(7069) ā 62656, and here it is 71387.
- 4
71387 is a twin prime: 71387 and 71389 are both prime.
Primes around the 7069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7066 | 71353 | 6 |
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
Questions
What is the 7069th prime number?
71387.
Which prime number is 71387?
71387 is the 7069th prime number.
What is the sum of the first 7069 primes?
238,363,266.