What is the 7072nd prime number?
The 7072nd prime number is 71411. The next prime is 71413 (a gap of 2) and the one before is 71399.
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 7072nd one is 71411.
- 2
71411 is prime because no prime up to ā71411 ā 267.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7072nd prime is close to 7072 Ć ln(7072) ā 62685, and here it is 71411.
- 4
71411 is a twin prime: 71411 and 71413 are both prime.
Primes around the 7072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
| 7074 | 71419 | 6 |
| 7075 | 71429 | 10 |
Questions
What is the 7072nd prime number?
71411.
Which prime number is 71411?
71411 is the 7072nd prime number.
What is the sum of the first 7072 primes?
238,577,465.