What is the 7129th prime number?
The 7129th prime number is 72019. The next prime is 72031 (a gap of 12) and the one before is 71999.
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 7129th one is 72019.
- 2
72019 is prime because no prime up to ā72019 ā 268.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7129th prime is close to 7129 Ć ln(7129) ā 63248, and here it is 72019.
- 4
72019 has no twin: neither 72017 nor 72021 is prime.
Primes around the 7129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
Questions
What is the 7129th prime number?
72019.
Which prime number is 72019?
72019 is the 7129th prime number.
What is the sum of the first 7129 primes?
242,665,680.