What is the 7049th prime number?
The 7049th prime number is 71191. The next prime is 71209 (a gap of 18) and the one before is 71171.
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 7049th one is 71191.
- 2
71191 is prime because no prime up to ā71191 ā 266.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7049th prime is close to 7049 Ć ln(7049) ā 62459, and here it is 71191.
- 4
71191 has no twin: neither 71189 nor 71193 is prime.
Primes around the 7049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7046 | 71161 | 8 |
| 7047 | 71167 | 6 |
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
| 7052 | 71237 | 4 |
Questions
What is the 7049th prime number?
71191.
Which prime number is 71191?
71191 is the 7049th prime number.
What is the sum of the first 7049 primes?
236,937,182.