What is the 7131st prime number?
The 7131st prime number is 72043. The next prime is 72047 (a gap of 4) and the one before is 72031.
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 7131st one is 72043.
- 2
72043 is prime because no prime up to ā72043 ā 268.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7131st prime is close to 7131 Ć ln(7131) ā 63268, and here it is 72043.
- 4
72043 has no twin: neither 72041 nor 72045 is prime.
Primes around the 7131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
Questions
What is the 7131st prime number?
72043.
Which prime number is 72043?
72043 is the 7131st prime number.
What is the sum of the first 7131 primes?
242,809,754.