What is the 7130th prime number?
The 7130th prime number is 72031. The next prime is 72043 (a gap of 12) and the one before is 72019.
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 7130th one is 72031.
- 2
72031 is prime because no prime up to ā72031 ā 268.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7130th prime is close to 7130 Ć ln(7130) ā 63258, and here it is 72031.
- 4
72031 has no twin: neither 72029 nor 72033 is prime.
Primes around the 7130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
Questions
What is the 7130th prime number?
72031.
Which prime number is 72031?
72031 is the 7130th prime number.
What is the sum of the first 7130 primes?
242,737,711.