What is the 7071st prime number?
The 7071st prime number is 71399. The next prime is 71411 (a gap of 12) and the one before is 71389.
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 7071st one is 71399.
- 2
71399 is prime because no prime up to ā71399 ā 267.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7071st prime is close to 7071 Ć ln(7071) ā 62676, and here it is 71399.
- 4
71399 has no twin: neither 71397 nor 71401 is prime.
Primes around the 7071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7068 | 71363 | 4 |
| 7069 | 71387 | 24 |
| 7070 | 71389 | 2 |
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
| 7074 | 71419 | 6 |
Questions
What is the 7071st prime number?
71399.
Which prime number is 71399?
71399 is the 7071st prime number.
What is the sum of the first 7071 primes?
238,506,054.