What is the 7122nd prime number?
The 7122nd prime number is 71947. The next prime is 71963 (a gap of 16) and the one before is 71941.
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 7122nd one is 71947.
- 2
71947 is prime because no prime up to ā71947 ā 268.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7122nd prime is close to 7122 Ć ln(7122) ā 63179, and here it is 71947.
- 4
71947 has no twin: neither 71945 nor 71949 is prime.
Primes around the 7122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7119 | 71917 | 8 |
| 7120 | 71933 | 16 |
| 7121 | 71941 | 8 |
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
Questions
What is the 7122nd prime number?
71947.
Which prime number is 71947?
71947 is the 7122nd prime number.
What is the sum of the first 7122 primes?
242,161,765.