What is the 7070th prime number?
The 7070th prime number is 71389. The next prime is 71399 (a gap of 10) and the one before is 71387.
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 7070th one is 71389.
- 2
71389 is prime because no prime up to ā71389 ā 267.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7070th prime is close to 7070 Ć ln(7070) ā 62666, and here it is 71389.
- 4
71389 is a twin prime: 71387 and 71389 are both prime.
Primes around the 7070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7067 | 71359 | 6 |
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
Questions
What is the 7070th prime number?
71389.
Which prime number is 71389?
71389 is the 7070th prime number.
What is the sum of the first 7070 primes?
238,434,655.