What is the 7092nd prime number?
The 7092nd prime number is 71633. The next prime is 71647 (a gap of 14) and the one before is 71597.
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 7092nd one is 71633.
- 2
71633 is prime because no prime up to ā71633 ā 267.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7092nd prime is close to 7092 Ć ln(7092) ā 62883, and here it is 71633.
- 4
71633 has no twin: neither 71631 nor 71635 is prime.
Primes around the 7092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7089 | 71569 | 6 |
| 7090 | 71593 | 24 |
| 7091 | 71597 | 4 |
| 7092 | 71633 | 36 |
| 7093 | 71647 | 14 |
| 7094 | 71663 | 16 |
| 7095 | 71671 | 8 |
Questions
What is the 7092nd prime number?
71633.
Which prime number is 71633?
71633 is the 7092nd prime number.
What is the sum of the first 7092 primes?
240,007,587.