What is the 7075th prime number?
The 7075th prime number is 71429. The next prime is 71437 (a gap of 8) and the one before is 71419.
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 7075th one is 71429.
- 2
71429 is prime because no prime up to ā71429 ā 267.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7075th prime is close to 7075 Ć ln(7075) ā 62715, and here it is 71429.
- 4
71429 has no twin: neither 71427 nor 71431 is prime.
Primes around the 7075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
| 7074 | 71419 | 6 |
| 7075 | 71429 | 10 |
| 7076 | 71437 | 8 |
| 7077 | 71443 | 6 |
| 7078 | 71453 | 10 |
Questions
What is the 7075th prime number?
71429.
Which prime number is 71429?
71429 is the 7075th prime number.
What is the sum of the first 7075 primes?
238,791,726.