What is the 7073rd prime number?
The 7073rd prime number is 71413. The next prime is 71419 (a gap of 6) and the one before is 71411.
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 7073rd one is 71413.
- 2
71413 is prime because no prime up to ā71413 ā 267.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7073rd prime is close to 7073 Ć ln(7073) ā 62695, and here it is 71413.
- 4
71413 is a twin prime: 71411 and 71413 are both prime.
Primes around the 7073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
| 7074 | 71419 | 6 |
| 7075 | 71429 | 10 |
| 7076 | 71437 | 8 |
Questions
What is the 7073rd prime number?
71413.
Which prime number is 71413?
71413 is the 7073rd prime number.
What is the sum of the first 7073 primes?
238,648,878.