What is the 7191st prime number?
The 7191st prime number is 72707. The next prime is 72719 (a gap of 12) and the one before is 72701.
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 7191st one is 72707.
- 2
72707 is prime because no prime up to ā72707 ā 269.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7191st prime is close to 7191 Ć ln(7191) ā 63860, and here it is 72707.
- 4
72707 has no twin: neither 72705 nor 72709 is prime.
Primes around the 7191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7188 | 72679 | 6 |
| 7189 | 72689 | 10 |
| 7190 | 72701 | 12 |
| 7191 | 72707 | 6 |
| 7192 | 72719 | 12 |
| 7193 | 72727 | 8 |
| 7194 | 72733 | 6 |
Questions
What is the 7191st prime number?
72707.
Which prime number is 72707?
72707 is the 7191st prime number.
What is the sum of the first 7191 primes?
247,152,368.