What is the 7120th prime number?
The 7120th prime number is 71933. The next prime is 71941 (a gap of 8) and the one before is 71917.
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 7120th one is 71933.
- 2
71933 is prime because no prime up to ā71933 ā 268.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7120th prime is close to 7120 Ć ln(7120) ā 63159, and here it is 71933.
- 4
71933 has no twin: neither 71931 nor 71935 is prime.
Primes around the 7120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7117 | 71899 | 12 |
| 7118 | 71909 | 10 |
| 7119 | 71917 | 8 |
| 7120 | 71933 | 16 |
| 7121 | 71941 | 8 |
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
Questions
What is the 7120th prime number?
71933.
Which prime number is 71933?
71933 is the 7120th prime number.
What is the sum of the first 7120 primes?
242,017,877.