What is the 7128th prime number?
The 7128th prime number is 71999. The next prime is 72019 (a gap of 20) and the one before is 71993.
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 7128th one is 71999.
- 2
71999 is prime because no prime up to ā71999 ā 268.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7128th prime is close to 7128 Ć ln(7128) ā 63238, and here it is 71999.
- 4
71999 has no twin: neither 71997 nor 72001 is prime.
Primes around the 7128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
Questions
What is the 7128th prime number?
71999.
Which prime number is 71999?
71999 is the 7128th prime number.
What is the sum of the first 7128 primes?
242,593,661.