What is the 7123rd prime number?
The 7123rd prime number is 71963. The next prime is 71971 (a gap of 8) and the one before is 71947.
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 7123rd one is 71963.
- 2
71963 is prime because no prime up to ā71963 ā 268.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7123rd prime is close to 7123 Ć ln(7123) ā 63189, and here it is 71963.
- 4
71963 has no twin: neither 71961 nor 71965 is prime.
Primes around the 7123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7120 | 71933 | 16 |
| 7121 | 71941 | 8 |
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
Questions
What is the 7123rd prime number?
71963.
Which prime number is 71963?
71963 is the 7123rd prime number.
What is the sum of the first 7123 primes?
242,233,728.